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GCF of 424/968, 532/709

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 424/968, 532/709 i.e 4/686312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/968, 532/709.

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 424/968,532/709?

Given fractions are 424/968,532/709

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 424/968,532/709, numerators are 424,532

Denominators are 968,709

The GCF of 424,532 is 4 .

LCM of 968,709 is 686312.

The greatest common factor of 424/968,532/709 = [GCF of 424,532]/[LCM of 968,709]= 4/686312

Therefore, the GCF of 424/968,532/709 is 4/686312.

Greatest Common Factor of 424,532

To find the highest common factor of 424,532, we have to find the factors of both numbers and list the highest common factor.

The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The HCF of 424,532 is 4.

Lets's calculate GCF of 424,532

Greatest Common Factor (GCF) of 424,532 By Common Division

2 424, 532
2 212, 266
106, 133

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 424,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,532 By Matching Biggest Common Factor Method

Now, list down the factors of 424

:

1,2,4,8,53,106,212,424

Now, list down the factors of 532

:

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 424,532 . The biggest common factor number is the GCF number.
So the greatest common factor 424,532 is 4.

Lets's calculate LCM of 968,709

Lowest Common Multiple of 968,709 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 686312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/686312

Therefore, the GCF of Fractions 424/968,532/709 is 4/686312

Least Common Multiple of 968,709 with GCF Formula

Least Common Multiple of 968,709 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 968,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,709) = 1

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

GCF(968,709) x common factors =1 x 1 = 1

LCM(968,709) = ( 968 × 709 ) / 1

LCM(968,709) = 686312 / 1

LCM(968,709) = 686312


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FAQs on GCF of Fractions of 424/968, 532/709

1. What is the HCF of 424,532?

The HCF of 424,532 is 4

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 424/968, 532/709?

Answer: GCF of Numerators as per given numbers 424/968, 532/709 is

GCF of Numerators i.e. for 424,532 is 4

LCM of denominators i.e. for 968,709 is 686312.

Thus, GCF of Fractions is 4/686312.Finally, GCF of Fractions for 424/968, 532/709 is 4/686312.