How to Find GCF of 756/256, 9595/280?

GCF of 756/256, 9595/280

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 756/256, 9595/280 i.e 1/8960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 756/256, 9595/280.

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 756/256,9595/280?

Given fractions are 756/256,9595/280

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 756/256,9595/280, numerators are 756,9595

Denominators are 256,280

The GCF of 756,9595 is 1 .

LCM of 256,280 is 8960.

The greatest common factor of 756/256,9595/280 = [GCF of 756,9595]/[LCM of 256,280]= 1/8960

Therefore, the GCF of 756/256,9595/280 is 1/8960.

Greatest Common Factor of 756,9595

To find the highest common factor of 756,9595, we have to find the factors of both numbers and list the highest common factor.

The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

The factors of 9595 are 1, 5, 19, 95, 101, 505, 1919, 9595

The HCF of 756,9595 is 1.

Lets's calculate GCF of 756,9595

Greatest Common Factor (GCF) of 756,9595 By Common Division

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

Greatest Common Factor of 756,9595 By Matching Biggest Common Factor Method

Now, list down the factors of 756

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Now, list down the factors of 9595

1,5,19,95,101,505,1919,9595

Greatest Common Factor

We found the factors 756,9595 . The biggest common factor number is the GCF number.
So the greatest common factor 756,9595 is 1.

Lets's calculate LCM of 256,280

Lowest Common Multiple of 256,280 using Common Division

2	256, 280
2	128, 140
2	64, 70
	32, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 32 x 35 = 8960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8960

Therefore, the GCF of Fractions 756/256,9595/280 is 1/8960

Least Common Multiple of 256,280 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 256,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,280) = 8

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

GCF(256,280) x common factors =8 x 1 = 8

LCM(256,280) = ( 256 × 280 ) / 8

LCM(256,280) = 71680 / 8

LCM(256,280) = 8960

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FAQs on GCF of Fractions of 756/256, 9595/280

1. What is the HCF of 756,9595?

The HCF of 756,9595 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 756/256, 9595/280?

Answer: GCF of Numerators as per given numbers 756/256, 9595/280 is

GCF of Numerators i.e. for 756,9595 is 1

LCM of denominators i.e. for 256,280 is 8960.

Thus, GCF of Fractions is 1/8960.Finally, GCF of Fractions for 756/256, 9595/280 is 1/8960.