How to Find GCF of 1378/116, 7220/629?

GCF of 1378/116, 7220/629

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 1378/116, 7220/629 i.e 2/72964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1378/116, 7220/629.

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 1378/116,7220/629?

Given fractions are 1378/116,7220/629

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 1378/116,7220/629, numerators are 1378,7220

Denominators are 116,629

The GCF of 1378,7220 is 2 .

LCM of 116,629 is 72964.

The greatest common factor of 1378/116,7220/629 = [GCF of 1378,7220]/[LCM of 116,629]= 2/72964

Therefore, the GCF of 1378/116,7220/629 is 2/72964.

Greatest Common Factor of 1378,7220

To find the highest common factor of 1378,7220, we have to find the factors of both numbers and list the highest common factor.

The factors of 1378 are 1, 2, 13, 26, 53, 106, 689, 1378

The factors of 7220 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 361, 380, 722, 1444, 1805, 3610, 7220

The HCF of 1378,7220 is 2.

Lets's calculate GCF of 1378,7220

Greatest Common Factor (GCF) of 1378,7220 By Common Division

2	1378, 7220
	689, 3610

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

Greatest Common Factor of 1378,7220 By Matching Biggest Common Factor Method

Now, list down the factors of 1378

1,2,13,26,53,106,689,1378

Now, list down the factors of 7220

1,2,4,5,10,19,20,38,76,95,190,361,380,722,1444,1805,3610,7220

Greatest Common Factor

We found the factors 1378,7220 . The biggest common factor number is the GCF number.
So the greatest common factor 1378,7220 is 2.

Lets's calculate LCM of 116,629

Lowest Common Multiple of 116,629 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 72964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72964

Therefore, the GCF of Fractions 1378/116,7220/629 is 2/72964

Least Common Multiple of 116,629 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 116,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,629) = 1

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

GCF(116,629) x common factors =1 x 1 = 1

LCM(116,629) = ( 116 × 629 ) / 1

LCM(116,629) = 72964 / 1

LCM(116,629) = 72964

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FAQs on GCF of Fractions of 1378/116, 7220/629

1. What is the HCF of 1378,7220?

The HCF of 1378,7220 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 1378/116, 7220/629?

Answer: GCF of Numerators as per given numbers 1378/116, 7220/629 is

GCF of Numerators i.e. for 1378,7220 is 2

LCM of denominators i.e. for 116,629 is 72964.

Thus, GCF of Fractions is 2/72964.Finally, GCF of Fractions for 1378/116, 7220/629 is 2/72964.