LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 130/541, 1570/170

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 130/541, 1570/170 i.e 10/91970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 130/541, 1570/170.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 130/541,1570/170?

Given fractions are 130/541,1570/170

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 130/541,1570/170, numerators are 130,1570

Denominators are 541,170

The GCF of 130,1570 is 10 .

LCM of 541,170 is 91970.

The greatest common factor of 130/541,1570/170 = [GCF of 130,1570]/[LCM of 541,170]= 10/91970

Therefore, the GCF of 130/541,1570/170 is 10/91970.

Greatest Common Factor of 130,1570

To find the highest common factor of 130,1570, we have to find the factors of both numbers and list the highest common factor.

The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130

The factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570

The HCF of 130,1570 is 10.

Lets's calculate GCF of 130,1570

Greatest Common Factor (GCF) of 130,1570 By Common Division

2 130, 1570
5 65, 785
13, 157

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 130,1570 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,1570 By Matching Biggest Common Factor Method

Now, list down the factors of 130

:

1,2,5,10,13,26,65,130

Now, list down the factors of 1570

:

1,2,5,10,157,314,785,1570

Greatest Common Factor

We found the factors 130,1570 . The biggest common factor number is the GCF number.
So the greatest common factor 130,1570 is 10.

Lets's calculate LCM of 541,170

Lowest Common Multiple of 541,170 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 91970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/91970

Therefore, the GCF of Fractions 130/541,1570/170 is 10/91970

Least Common Multiple of 541,170 with GCF Formula

Least Common Multiple of 541,170 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 541,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,170) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(541,170) x common factors =1 x 1 = 1

LCM(541,170) = ( 541 × 170 ) / 1

LCM(541,170) = 91970 / 1

LCM(541,170) = 91970


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 130/541, 1570/170

1. What is the HCF of 130,1570?

The HCF of 130,1570 is 10

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 130/541, 1570/170?

Answer: GCF of Numerators as per given numbers 130/541, 1570/170 is

GCF of Numerators i.e. for 130,1570 is 10

LCM of denominators i.e. for 541,170 is 91970.

Thus, GCF of Fractions is 10/91970.Finally, GCF of Fractions for 130/541, 1570/170 is 10/91970.