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GCF of 530/176, 767/772

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 530/176, 767/772 i.e 1/33968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 530/176, 767/772.

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 530/176,767/772?

Given fractions are 530/176,767/772

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 530/176,767/772, numerators are 530,767

Denominators are 176,772

The GCF of 530,767 is 1 .

LCM of 176,772 is 33968.

The greatest common factor of 530/176,767/772 = [GCF of 530,767]/[LCM of 176,772]= 1/33968

Therefore, the GCF of 530/176,767/772 is 1/33968.

Greatest Common Factor of 530,767

To find the highest common factor of 530,767, we have to find the factors of both numbers and list the highest common factor.

The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530

The factors of 767 are 1, 13, 59, 767

The HCF of 530,767 is 1.

Lets's calculate GCF of 530,767

Greatest Common Factor (GCF) of 530,767 By Common Division

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

Greatest Common Factor of 530,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,767 By Matching Biggest Common Factor Method

Now, list down the factors of 530

:

1,2,5,10,53,106,265,530

Now, list down the factors of 767

:

1,13,59,767

Greatest Common Factor

We found the factors 530,767 . The biggest common factor number is the GCF number.
So the greatest common factor 530,767 is 1.

Lets's calculate LCM of 176,772

Lowest Common Multiple of 176,772 using Common Division

2 176, 772
2 88, 386
44, 193

∴ So the LCM of the given numbers is 2 x 2 x 44 x 193 = 33968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33968

Therefore, the GCF of Fractions 530/176,767/772 is 1/33968

Least Common Multiple of 176,772 with GCF Formula

Least Common Multiple of 176,772 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 176,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,772) = 4

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

GCF(176,772) x common factors =4 x 1 = 4

LCM(176,772) = ( 176 × 772 ) / 4

LCM(176,772) = 135872 / 4

LCM(176,772) = 33968


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FAQs on GCF of Fractions of 530/176, 767/772

1. What is the HCF of 530,767?

The HCF of 530,767 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 530/176, 767/772?

Answer: GCF of Numerators as per given numbers 530/176, 767/772 is

GCF of Numerators i.e. for 530,767 is 1

LCM of denominators i.e. for 176,772 is 33968.

Thus, GCF of Fractions is 1/33968.Finally, GCF of Fractions for 530/176, 767/772 is 1/33968.