How to Find GCF of 2362/377, 4022/1404?

GCF of 2362/377, 4022/1404

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 2362/377, 4022/1404 i.e 2/40716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2362/377, 4022/1404.

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 2362/377,4022/1404?

Given fractions are 2362/377,4022/1404

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 2362/377,4022/1404, numerators are 2362,4022

Denominators are 377,1404

The GCF of 2362,4022 is 2 .

LCM of 377,1404 is 40716.

The greatest common factor of 2362/377,4022/1404 = [GCF of 2362,4022]/[LCM of 377,1404]= 2/40716

Therefore, the GCF of 2362/377,4022/1404 is 2/40716.

Greatest Common Factor of 2362,4022

To find the highest common factor of 2362,4022, we have to find the factors of both numbers and list the highest common factor.

The factors of 2362 are 1, 2, 1181, 2362

The factors of 4022 are 1, 2, 2011, 4022

The HCF of 2362,4022 is 2.

Lets's calculate GCF of 2362,4022

Greatest Common Factor (GCF) of 2362,4022 By Common Division

2	2362, 4022
	1181, 2011

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

Greatest Common Factor of 2362,4022 By Matching Biggest Common Factor Method

Now, list down the factors of 2362

1,2,1181,2362

Now, list down the factors of 4022

1,2,2011,4022

Greatest Common Factor

We found the factors 2362,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 2362,4022 is 2.

Lets's calculate LCM of 377,1404

Lowest Common Multiple of 377,1404 using Common Division

13	377, 1404
	29, 108

∴ So the LCM of the given numbers is 13 x 29 x 108 = 40716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40716

Therefore, the GCF of Fractions 2362/377,4022/1404 is 2/40716

Least Common Multiple of 377,1404 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 377,1404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,1404) = 13

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

GCF(377,1404) x common factors =13 x 1 = 13

LCM(377,1404) = ( 377 × 1404 ) / 13

LCM(377,1404) = 529308 / 13

LCM(377,1404) = 40716

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FAQs on GCF of Fractions of 2362/377, 4022/1404

1. What is the HCF of 2362,4022?

The HCF of 2362,4022 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 2362/377, 4022/1404?

Answer: GCF of Numerators as per given numbers 2362/377, 4022/1404 is

GCF of Numerators i.e. for 2362,4022 is 2

LCM of denominators i.e. for 377,1404 is 40716.

Thus, GCF of Fractions is 2/40716.Finally, GCF of Fractions for 2362/377, 4022/1404 is 2/40716.