How to Find GCF of 3140/362, 6379/7860?

GCF of 3140/362, 6379/7860

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 3140/362, 6379/7860 i.e 1/1422660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3140/362, 6379/7860.

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 3140/362,6379/7860?

Given fractions are 3140/362,6379/7860

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 3140/362,6379/7860, numerators are 3140,6379

Denominators are 362,7860

The GCF of 3140,6379 is 1 .

LCM of 362,7860 is 1422660.

The greatest common factor of 3140/362,6379/7860 = [GCF of 3140,6379]/[LCM of 362,7860]= 1/1422660

Therefore, the GCF of 3140/362,6379/7860 is 1/1422660.

Greatest Common Factor of 3140,6379

To find the highest common factor of 3140,6379, we have to find the factors of both numbers and list the highest common factor.

The factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140

The factors of 6379 are 1, 6379

The HCF of 3140,6379 is 1.

Lets's calculate GCF of 3140,6379

Greatest Common Factor (GCF) of 3140,6379 By Common Division

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

Greatest Common Factor of 3140,6379 By Matching Biggest Common Factor Method

Now, list down the factors of 3140

1,2,4,5,10,20,157,314,628,785,1570,3140

Now, list down the factors of 6379

1,6379

Greatest Common Factor

We found the factors 3140,6379 . The biggest common factor number is the GCF number.
So the greatest common factor 3140,6379 is 1.

Lets's calculate LCM of 362,7860

Lowest Common Multiple of 362,7860 using Common Division

2	362, 7860
	181, 3930

∴ So the LCM of the given numbers is 2 x 181 x 3930 = 1422660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1422660

Therefore, the GCF of Fractions 3140/362,6379/7860 is 1/1422660

Least Common Multiple of 362,7860 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 362,7860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,7860) = 2

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

GCF(362,7860) x common factors =2 x 1 = 2

LCM(362,7860) = ( 362 × 7860 ) / 2

LCM(362,7860) = 2845320 / 2

LCM(362,7860) = 1422660

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FAQs on GCF of Fractions of 3140/362, 6379/7860

1. What is the HCF of 3140,6379?

The HCF of 3140,6379 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 3140/362, 6379/7860?

Answer: GCF of Numerators as per given numbers 3140/362, 6379/7860 is

GCF of Numerators i.e. for 3140,6379 is 1

LCM of denominators i.e. for 362,7860 is 1422660.

Thus, GCF of Fractions is 1/1422660.Finally, GCF of Fractions for 3140/362, 6379/7860 is 1/1422660.