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 102/835, 127/754

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 102/835, 127/754 i.e 1/629590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 102/835, 127/754.

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 102/835,127/754?

Given fractions are 102/835,127/754

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 102/835,127/754, numerators are 102,127

Denominators are 835,754

The GCF of 102,127 is 1 .

LCM of 835,754 is 629590.

The greatest common factor of 102/835,127/754 = [GCF of 102,127]/[LCM of 835,754]= 1/629590

Therefore, the GCF of 102/835,127/754 is 1/629590.

Greatest Common Factor of 102,127

To find the highest common factor of 102,127, we have to find the factors of both numbers and list the highest common factor.

The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102

The factors of 127 are 1, 127

The HCF of 102,127 is 1.

Lets's calculate GCF of 102,127

Greatest Common Factor (GCF) of 102,127 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 102,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,127 By Matching Biggest Common Factor Method

Now, list down the factors of 102

:

1,2,3,6,17,34,51,102

Now, list down the factors of 127

:

1,127

Greatest Common Factor

We found the factors 102,127 . The biggest common factor number is the GCF number.
So the greatest common factor 102,127 is 1.

Lets's calculate LCM of 835,754

Lowest Common Multiple of 835,754 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 629590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/629590

Therefore, the GCF of Fractions 102/835,127/754 is 1/629590

Least Common Multiple of 835,754 with GCF Formula

Least Common Multiple of 835,754 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 835,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,754) = 1

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

GCF(835,754) x common factors =1 x 1 = 1

LCM(835,754) = ( 835 × 754 ) / 1

LCM(835,754) = 629590 / 1

LCM(835,754) = 629590


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 102/835, 127/754

1. What is the HCF of 102,127?

The HCF of 102,127 is 1

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 102/835, 127/754?

Answer: GCF of Numerators as per given numbers 102/835, 127/754 is

GCF of Numerators i.e. for 102,127 is 1

LCM of denominators i.e. for 835,754 is 629590.

Thus, GCF of Fractions is 1/629590.Finally, GCF of Fractions for 102/835, 127/754 is 1/629590.