How to Find GCF of 4892/957, 4204/9017?

GCF of 4892/957, 4204/9017

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 4892/957, 4204/9017 i.e 4/8629269 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4892/957, 4204/9017.

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 4892/957,4204/9017?

Given fractions are 4892/957,4204/9017

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 4892/957,4204/9017, numerators are 4892,4204

Denominators are 957,9017

The GCF of 4892,4204 is 4 .

LCM of 957,9017 is 8629269.

The greatest common factor of 4892/957,4204/9017 = [GCF of 4892,4204]/[LCM of 957,9017]= 4/8629269

Therefore, the GCF of 4892/957,4204/9017 is 4/8629269.

Greatest Common Factor of 4892,4204

To find the highest common factor of 4892,4204, we have to find the factors of both numbers and list the highest common factor.

The factors of 4892 are 1, 2, 4, 1223, 2446, 4892

The factors of 4204 are 1, 2, 4, 1051, 2102, 4204

The HCF of 4892,4204 is 4.

Lets's calculate GCF of 4892,4204

Greatest Common Factor (GCF) of 4892,4204 By Common Division

2	4892, 4204
2	2446, 2102
	1223, 1051

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

Greatest Common Factor of 4892,4204 By Matching Biggest Common Factor Method

Now, list down the factors of 4892

1,2,4,1223,2446,4892

Now, list down the factors of 4204

1,2,4,1051,2102,4204

Greatest Common Factor

We found the factors 4892,4204 . The biggest common factor number is the GCF number.
So the greatest common factor 4892,4204 is 4.

Lets's calculate LCM of 957,9017

Lowest Common Multiple of 957,9017 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8629269

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8629269

Therefore, the GCF of Fractions 4892/957,4204/9017 is 4/8629269

Least Common Multiple of 957,9017 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 957,9017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,9017) = 1

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

GCF(957,9017) x common factors =1 x 1 = 1

LCM(957,9017) = ( 957 × 9017 ) / 1

LCM(957,9017) = 8629269 / 1

LCM(957,9017) = 8629269

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FAQs on GCF of Fractions of 4892/957, 4204/9017

1. What is the HCF of 4892,4204?

The HCF of 4892,4204 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 4892/957, 4204/9017?

Answer: GCF of Numerators as per given numbers 4892/957, 4204/9017 is

GCF of Numerators i.e. for 4892,4204 is 4

LCM of denominators i.e. for 957,9017 is 8629269.

Thus, GCF of Fractions is 4/8629269.Finally, GCF of Fractions for 4892/957, 4204/9017 is 4/8629269.