How to Find GCF of 4992/640, 3817/422?

GCF of 4992/640, 3817/422

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 4992/640, 3817/422 i.e 1/135040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4992/640, 3817/422.

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 4992/640,3817/422?

Given fractions are 4992/640,3817/422

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 4992/640,3817/422, numerators are 4992,3817

Denominators are 640,422

The GCF of 4992,3817 is 1 .

LCM of 640,422 is 135040.

The greatest common factor of 4992/640,3817/422 = [GCF of 4992,3817]/[LCM of 640,422]= 1/135040

Therefore, the GCF of 4992/640,3817/422 is 1/135040.

Greatest Common Factor of 4992,3817

To find the highest common factor of 4992,3817, we have to find the factors of both numbers and list the highest common factor.

The factors of 4992 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992

The factors of 3817 are 1, 11, 347, 3817

The HCF of 4992,3817 is 1.

Lets's calculate GCF of 4992,3817

Greatest Common Factor (GCF) of 4992,3817 By Common Division

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

Greatest Common Factor of 4992,3817 By Matching Biggest Common Factor Method

Now, list down the factors of 4992

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992

Now, list down the factors of 3817

1,11,347,3817

Greatest Common Factor

We found the factors 4992,3817 . The biggest common factor number is the GCF number.
So the greatest common factor 4992,3817 is 1.

Lets's calculate LCM of 640,422

Lowest Common Multiple of 640,422 using Common Division

2	640, 422
	320, 211

∴ So the LCM of the given numbers is 2 x 320 x 211 = 135040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135040

Therefore, the GCF of Fractions 4992/640,3817/422 is 1/135040

Least Common Multiple of 640,422 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 640,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,422) = 2

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

GCF(640,422) x common factors =2 x 1 = 2

LCM(640,422) = ( 640 × 422 ) / 2

LCM(640,422) = 270080 / 2

LCM(640,422) = 135040

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FAQs on GCF of Fractions of 4992/640, 3817/422

1. What is the HCF of 4992,3817?

The HCF of 4992,3817 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 4992/640, 3817/422?

Answer: GCF of Numerators as per given numbers 4992/640, 3817/422 is

GCF of Numerators i.e. for 4992,3817 is 1

LCM of denominators i.e. for 640,422 is 135040.

Thus, GCF of Fractions is 1/135040.Finally, GCF of Fractions for 4992/640, 3817/422 is 1/135040.