How to Find GCF of 4369/946, 8917/4114?

GCF of 4369/946, 8917/4114

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 4369/946, 8917/4114 i.e 1/176902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4369/946, 8917/4114.

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 4369/946,8917/4114?

Given fractions are 4369/946,8917/4114

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 4369/946,8917/4114, numerators are 4369,8917

Denominators are 946,4114

The GCF of 4369,8917 is 1 .

LCM of 946,4114 is 176902.

The greatest common factor of 4369/946,8917/4114 = [GCF of 4369,8917]/[LCM of 946,4114]= 1/176902

Therefore, the GCF of 4369/946,8917/4114 is 1/176902.

Greatest Common Factor of 4369,8917

To find the highest common factor of 4369,8917, we have to find the factors of both numbers and list the highest common factor.

The factors of 4369 are 1, 17, 257, 4369

The factors of 8917 are 1, 37, 241, 8917

The HCF of 4369,8917 is 1.

Lets's calculate GCF of 4369,8917

Greatest Common Factor (GCF) of 4369,8917 By Common Division

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

Greatest Common Factor of 4369,8917 By Matching Biggest Common Factor Method

Now, list down the factors of 4369

1,17,257,4369

Now, list down the factors of 8917

1,37,241,8917

Greatest Common Factor

We found the factors 4369,8917 . The biggest common factor number is the GCF number.
So the greatest common factor 4369,8917 is 1.

Lets's calculate LCM of 946,4114

Lowest Common Multiple of 946,4114 using Common Division

2	946, 4114
11	473, 2057
	43, 187

∴ So the LCM of the given numbers is 2 x 11 x 43 x 187 = 176902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176902

Therefore, the GCF of Fractions 4369/946,8917/4114 is 1/176902

Least Common Multiple of 946,4114 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 946,4114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,4114) = 22

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

GCF(946,4114) x common factors =22 x 1 = 22

LCM(946,4114) = ( 946 × 4114 ) / 22

LCM(946,4114) = 3891844 / 22

LCM(946,4114) = 176902

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FAQs on GCF of Fractions of 4369/946, 8917/4114

1. What is the HCF of 4369,8917?

The HCF of 4369,8917 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 4369/946, 8917/4114?

Answer: GCF of Numerators as per given numbers 4369/946, 8917/4114 is

GCF of Numerators i.e. for 4369,8917 is 1

LCM of denominators i.e. for 946,4114 is 176902.

Thus, GCF of Fractions is 1/176902.Finally, GCF of Fractions for 4369/946, 8917/4114 is 1/176902.