How to Find GCF of 4357/256, 1848/792?

GCF of 4357/256, 1848/792

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 4357/256, 1848/792 i.e 1/25344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4357/256, 1848/792.

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 4357/256,1848/792?

Given fractions are 4357/256,1848/792

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 4357/256,1848/792, numerators are 4357,1848

Denominators are 256,792

The GCF of 4357,1848 is 1 .

LCM of 256,792 is 25344.

The greatest common factor of 4357/256,1848/792 = [GCF of 4357,1848]/[LCM of 256,792]= 1/25344

Therefore, the GCF of 4357/256,1848/792 is 1/25344.

Greatest Common Factor of 4357,1848

To find the highest common factor of 4357,1848, we have to find the factors of both numbers and list the highest common factor.

The factors of 4357 are 1, 4357

The factors of 1848 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924, 1848

The HCF of 4357,1848 is 1.

Lets's calculate GCF of 4357,1848

Greatest Common Factor (GCF) of 4357,1848 By Common Division

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

Greatest Common Factor of 4357,1848 By Matching Biggest Common Factor Method

Now, list down the factors of 4357

1,4357

Now, list down the factors of 1848

1,2,3,4,6,7,8,11,12,14,21,22,24,28,33,42,44,56,66,77,84,88,132,154,168,231,264,308,462,616,924,1848

Greatest Common Factor

We found the factors 4357,1848 . The biggest common factor number is the GCF number.
So the greatest common factor 4357,1848 is 1.

Lets's calculate LCM of 256,792

Lowest Common Multiple of 256,792 using Common Division

2	256, 792
2	128, 396
2	64, 198
	32, 99

∴ So the LCM of the given numbers is 2 x 2 x 2 x 32 x 99 = 25344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25344

Therefore, the GCF of Fractions 4357/256,1848/792 is 1/25344

Least Common Multiple of 256,792 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 256,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,792) = 8

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

GCF(256,792) x common factors =8 x 1 = 8

LCM(256,792) = ( 256 × 792 ) / 8

LCM(256,792) = 202752 / 8

LCM(256,792) = 25344

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FAQs on GCF of Fractions of 4357/256, 1848/792

1. What is the HCF of 4357,1848?

The HCF of 4357,1848 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 4357/256, 1848/792?

Answer: GCF of Numerators as per given numbers 4357/256, 1848/792 is

GCF of Numerators i.e. for 4357,1848 is 1

LCM of denominators i.e. for 256,792 is 25344.

Thus, GCF of Fractions is 1/25344.Finally, GCF of Fractions for 4357/256, 1848/792 is 1/25344.