How to Find GCF of 64/527, 868/491, 130/540?

GCF of 64/527, 868/491, 130/540

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 64/527, 868/491, 130/540 i.e 2/139728780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/527, 868/491, 130/540.

Enter two or more fractions separated by "commas"

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

What is the GCF of 64/527,868/491,130/540?

Given fractions are 64/527,868/491,130/540

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 64/527,868/491,130/540, numerators are 64,868,130

Denominators are 527,491,540

The GCF of 64,868,130 is 2 .

LCM of 527,491,540 is 139728780.

The greatest common factor of 64/527,868/491,130/540 = [GCF of 64,868,130]/[LCM of 527,491,540]= 2/139728780

Therefore, the GCF of 64/527,868/491,130/540 is 2/139728780.

Greatest Common Factor of 64,868,130

To find the highest common factor of 64,868,130, we have to find the factors of both numbers and list the highest common factor.

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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

The HCF of 64,868,130 is 2.

Lets's calculate GCF of 64,868,130

Greatest Common Factor (GCF) of 64,868,130 By Common Division

2	64, 868, 130
	32, 434, 65

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

Greatest Common Factor of 64,868,130 By Matching Biggest Common Factor Method

Now, list down the factors of 64

1,2,4,8,16,32,64

Now, list down the factors of 868

1,2,4,7,14,28,31,62,124,217,434,868

Now, list down the factors of 130

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

Greatest Common Factor

We found the factors 64,868,130 . The biggest common factor number is the GCF number.
So the greatest common factor 64,868,130 is 2.

Lets's calculate LCM of 527,491,540

Lowest Common Multiple of 527,491,540 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 139728780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/139728780

Therefore, the GCF of Fractions 64/527,868/491,130/540 is 2/139728780

Least Common Multiple of 527,491,540 with GCF Formula

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

We need to calculate greatest common factor of 527,491,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,491,540) = 1

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

GCF(527,491,540) x common factors =1 x 1 = 1

LCM(527,491,540) = ( 527 × 491 × 540 ) / 1

LCM(527,491,540) = 139728780 / 1

LCM(527,491,540) = 139728780

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 64/527, 868/491, 130/540

1. What is the HCF of 64,868,130?

The HCF of 64,868,130 is 2

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 64/527, 868/491, 130/540?

Answer: GCF of Numerators as per given numbers 64/527, 868/491, 130/540 is

GCF of Numerators i.e. for 64,868,130 is 2

LCM of denominators i.e. for 527,491,540 is 139728780.

Thus, GCF of Fractions is 2/139728780.Finally, GCF of Fractions for 64/527, 868/491, 130/540 is 2/139728780.