How to Find GCF of 9758/356, 4496/6712?

GCF of 9758/356, 4496/6712

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 9758/356, 4496/6712 i.e 2/597368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9758/356, 4496/6712.

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 9758/356,4496/6712?

Given fractions are 9758/356,4496/6712

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 9758/356,4496/6712, numerators are 9758,4496

Denominators are 356,6712

The GCF of 9758,4496 is 2 .

LCM of 356,6712 is 597368.

The greatest common factor of 9758/356,4496/6712 = [GCF of 9758,4496]/[LCM of 356,6712]= 2/597368

Therefore, the GCF of 9758/356,4496/6712 is 2/597368.

Greatest Common Factor of 9758,4496

To find the highest common factor of 9758,4496, we have to find the factors of both numbers and list the highest common factor.

The factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758

The factors of 4496 are 1, 2, 4, 8, 16, 281, 562, 1124, 2248, 4496

The HCF of 9758,4496 is 2.

Lets's calculate GCF of 9758,4496

Greatest Common Factor (GCF) of 9758,4496 By Common Division

2	9758, 4496
	4879, 2248

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

Greatest Common Factor of 9758,4496 By Matching Biggest Common Factor Method

Now, list down the factors of 9758

1,2,7,14,17,34,41,82,119,238,287,574,697,1394,4879,9758

Now, list down the factors of 4496

1,2,4,8,16,281,562,1124,2248,4496

Greatest Common Factor

We found the factors 9758,4496 . The biggest common factor number is the GCF number.
So the greatest common factor 9758,4496 is 2.

Lets's calculate LCM of 356,6712

Lowest Common Multiple of 356,6712 using Common Division

2	356, 6712
2	178, 3356
	89, 1678

∴ So the LCM of the given numbers is 2 x 2 x 89 x 1678 = 597368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/597368

Therefore, the GCF of Fractions 9758/356,4496/6712 is 2/597368

Least Common Multiple of 356,6712 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 356,6712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,6712) = 4

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

GCF(356,6712) x common factors =4 x 1 = 4

LCM(356,6712) = ( 356 × 6712 ) / 4

LCM(356,6712) = 2389472 / 4

LCM(356,6712) = 597368

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FAQs on GCF of Fractions of 9758/356, 4496/6712

1. What is the HCF of 9758,4496?

The HCF of 9758,4496 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 9758/356, 4496/6712?

Answer: GCF of Numerators as per given numbers 9758/356, 4496/6712 is

GCF of Numerators i.e. for 9758,4496 is 2

LCM of denominators i.e. for 356,6712 is 597368.

Thus, GCF of Fractions is 2/597368.Finally, GCF of Fractions for 9758/356, 4496/6712 is 2/597368.