How to Find GCF of 4294/946, 3172/5952?

GCF of 4294/946, 3172/5952

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 4294/946, 3172/5952 i.e 2/2815296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4294/946, 3172/5952.

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 4294/946,3172/5952?

Given fractions are 4294/946,3172/5952

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 4294/946,3172/5952, numerators are 4294,3172

Denominators are 946,5952

The GCF of 4294,3172 is 2 .

LCM of 946,5952 is 2815296.

The greatest common factor of 4294/946,3172/5952 = [GCF of 4294,3172]/[LCM of 946,5952]= 2/2815296

Therefore, the GCF of 4294/946,3172/5952 is 2/2815296.

Greatest Common Factor of 4294,3172

To find the highest common factor of 4294,3172, we have to find the factors of both numbers and list the highest common factor.

The factors of 4294 are 1, 2, 19, 38, 113, 226, 2147, 4294

The factors of 3172 are 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172

The HCF of 4294,3172 is 2.

Lets's calculate GCF of 4294,3172

Greatest Common Factor (GCF) of 4294,3172 By Common Division

2	4294, 3172
	2147, 1586

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

Greatest Common Factor of 4294,3172 By Matching Biggest Common Factor Method

Now, list down the factors of 4294

1,2,19,38,113,226,2147,4294

Now, list down the factors of 3172

1,2,4,13,26,52,61,122,244,793,1586,3172

Greatest Common Factor

We found the factors 4294,3172 . The biggest common factor number is the GCF number.
So the greatest common factor 4294,3172 is 2.

Lets's calculate LCM of 946,5952

Lowest Common Multiple of 946,5952 using Common Division

2	946, 5952
	473, 2976

∴ So the LCM of the given numbers is 2 x 473 x 2976 = 2815296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2815296

Therefore, the GCF of Fractions 4294/946,3172/5952 is 2/2815296

Least Common Multiple of 946,5952 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 946,5952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,5952) = 2

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

GCF(946,5952) x common factors =2 x 1 = 2

LCM(946,5952) = ( 946 × 5952 ) / 2

LCM(946,5952) = 5630592 / 2

LCM(946,5952) = 2815296

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4294/946, 3172/5952

1. What is the HCF of 4294,3172?

The HCF of 4294,3172 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 4294/946, 3172/5952?

Answer: GCF of Numerators as per given numbers 4294/946, 3172/5952 is

GCF of Numerators i.e. for 4294,3172 is 2

LCM of denominators i.e. for 946,5952 is 2815296.

Thus, GCF of Fractions is 2/2815296.Finally, GCF of Fractions for 4294/946, 3172/5952 is 2/2815296.