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 745/17, 925/568

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 745/17, 925/568 i.e 5/9656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 745/17, 925/568.

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 745/17,925/568?

Given fractions are 745/17,925/568

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 745/17,925/568, numerators are 745,925

Denominators are 17,568

The GCF of 745,925 is 5 .

LCM of 17,568 is 9656.

The greatest common factor of 745/17,925/568 = [GCF of 745,925]/[LCM of 17,568]= 5/9656

Therefore, the GCF of 745/17,925/568 is 5/9656.

Greatest Common Factor of 745,925

To find the highest common factor of 745,925, we have to find the factors of both numbers and list the highest common factor.

The factors of 745 are 1, 5, 149, 745

The factors of 925 are 1, 5, 25, 37, 185, 925

The HCF of 745,925 is 5.

Lets's calculate GCF of 745,925

Greatest Common Factor (GCF) of 745,925 By Common Division

5 745, 925
149, 185

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 745,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,925 By Matching Biggest Common Factor Method

Now, list down the factors of 745

:

1,5,149,745

Now, list down the factors of 925

:

1,5,25,37,185,925

Greatest Common Factor

We found the factors 745,925 . The biggest common factor number is the GCF number.
So the greatest common factor 745,925 is 5.

Lets's calculate LCM of 17,568

Lowest Common Multiple of 17,568 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9656

Therefore, the GCF of Fractions 745/17,925/568 is 5/9656

Least Common Multiple of 17,568 with GCF Formula

Least Common Multiple of 17,568 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 17,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,568) = 1

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

GCF(17,568) x common factors =1 x 1 = 1

LCM(17,568) = ( 17 × 568 ) / 1

LCM(17,568) = 9656 / 1

LCM(17,568) = 9656


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 745/17, 925/568

1. What is the HCF of 745,925?

The HCF of 745,925 is 5

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 745/17, 925/568?

Answer: GCF of Numerators as per given numbers 745/17, 925/568 is

GCF of Numerators i.e. for 745,925 is 5

LCM of denominators i.e. for 17,568 is 9656.

Thus, GCF of Fractions is 5/9656.Finally, GCF of Fractions for 745/17, 925/568 is 5/9656.