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GCF of 7382/220, 6070/646

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 7382/220, 6070/646 i.e 2/71060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7382/220, 6070/646.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7382/220,6070/646?

Given fractions are 7382/220,6070/646

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 7382/220,6070/646, numerators are 7382,6070

Denominators are 220,646

The GCF of 7382,6070 is 2 .

LCM of 220,646 is 71060.

The greatest common factor of 7382/220,6070/646 = [GCF of 7382,6070]/[LCM of 220,646]= 2/71060

Therefore, the GCF of 7382/220,6070/646 is 2/71060.

Greatest Common Factor of 7382,6070

To find the highest common factor of 7382,6070, we have to find the factors of both numbers and list the highest common factor.

The factors of 7382 are 1, 2, 3691, 7382

The factors of 6070 are 1, 2, 5, 10, 607, 1214, 3035, 6070

The HCF of 7382,6070 is 2.

Lets's calculate GCF of 7382,6070

Greatest Common Factor (GCF) of 7382,6070 By Common Division

2 7382, 6070
3691, 3035

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

Greatest Common Factor of 7382,6070 By Matching Biggest Common Factor Method

Greatest Common Factor of 7382,6070 By Matching Biggest Common Factor Method

Now, list down the factors of 7382

:

1,2,3691,7382

Now, list down the factors of 6070

:

1,2,5,10,607,1214,3035,6070

Greatest Common Factor

We found the factors 7382,6070 . The biggest common factor number is the GCF number.
So the greatest common factor 7382,6070 is 2.

Lets's calculate LCM of 220,646

Lowest Common Multiple of 220,646 using Common Division

2 220, 646
110, 323

∴ So the LCM of the given numbers is 2 x 110 x 323 = 71060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71060

Therefore, the GCF of Fractions 7382/220,6070/646 is 2/71060

Least Common Multiple of 220,646 with GCF Formula

Least Common Multiple of 220,646 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 220,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,646) = 2

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

GCF(220,646) x common factors =2 x 1 = 2

LCM(220,646) = ( 220 × 646 ) / 2

LCM(220,646) = 142120 / 2

LCM(220,646) = 71060


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7382/220, 6070/646

1. What is the HCF of 7382,6070?

The HCF of 7382,6070 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 7382/220, 6070/646?

Answer: GCF of Numerators as per given numbers 7382/220, 6070/646 is

GCF of Numerators i.e. for 7382,6070 is 2

LCM of denominators i.e. for 220,646 is 71060.

Thus, GCF of Fractions is 2/71060.Finally, GCF of Fractions for 7382/220, 6070/646 is 2/71060.