How to Find GCF of 92/228, 4256/6762?

GCF of 92/228, 4256/6762

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 92/228, 4256/6762 i.e 4/256956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/228, 4256/6762.

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 92/228,4256/6762?

Given fractions are 92/228,4256/6762

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 92/228,4256/6762, numerators are 92,4256

Denominators are 228,6762

The GCF of 92,4256 is 4 .

LCM of 228,6762 is 256956.

The greatest common factor of 92/228,4256/6762 = [GCF of 92,4256]/[LCM of 228,6762]= 4/256956

Therefore, the GCF of 92/228,4256/6762 is 4/256956.

Greatest Common Factor of 92,4256

To find the highest common factor of 92,4256, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

The factors of 4256 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256

The HCF of 92,4256 is 4.

Lets's calculate GCF of 92,4256

Greatest Common Factor (GCF) of 92,4256 By Common Division

2	92, 4256
2	46, 2128
	23, 1064

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 92,4256 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 4256

1,2,4,7,8,14,16,19,28,32,38,56,76,112,133,152,224,266,304,532,608,1064,2128,4256

Greatest Common Factor

We found the factors 92,4256 . The biggest common factor number is the GCF number.
So the greatest common factor 92,4256 is 4.

Lets's calculate LCM of 228,6762

Lowest Common Multiple of 228,6762 using Common Division

2	228, 6762
3	114, 3381
	38, 1127

∴ So the LCM of the given numbers is 2 x 3 x 38 x 1127 = 256956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/256956

Therefore, the GCF of Fractions 92/228,4256/6762 is 4/256956

Least Common Multiple of 228,6762 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 228,6762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,6762) = 6

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

GCF(228,6762) x common factors =6 x 1 = 6

LCM(228,6762) = ( 228 × 6762 ) / 6

LCM(228,6762) = 1541736 / 6

LCM(228,6762) = 256956

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FAQs on GCF of Fractions of 92/228, 4256/6762

1. What is the HCF of 92,4256?

The HCF of 92,4256 is 4

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 92/228, 4256/6762?

Answer: GCF of Numerators as per given numbers 92/228, 4256/6762 is

GCF of Numerators i.e. for 92,4256 is 4

LCM of denominators i.e. for 228,6762 is 256956.

Thus, GCF of Fractions is 4/256956.Finally, GCF of Fractions for 92/228, 4256/6762 is 4/256956.