How to Find GCF of 7347/770, 6810/6886?

GCF of 7347/770, 6810/6886

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 7347/770, 6810/6886 i.e 3/241010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7347/770, 6810/6886.

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 7347/770,6810/6886?

Given fractions are 7347/770,6810/6886

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 7347/770,6810/6886, numerators are 7347,6810

Denominators are 770,6886

The GCF of 7347,6810 is 3 .

LCM of 770,6886 is 241010.

The greatest common factor of 7347/770,6810/6886 = [GCF of 7347,6810]/[LCM of 770,6886]= 3/241010

Therefore, the GCF of 7347/770,6810/6886 is 3/241010.

Greatest Common Factor of 7347,6810

To find the highest common factor of 7347,6810, we have to find the factors of both numbers and list the highest common factor.

The factors of 7347 are 1, 3, 31, 79, 93, 237, 2449, 7347

The factors of 6810 are 1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405, 6810

The HCF of 7347,6810 is 3.

Lets's calculate GCF of 7347,6810

Greatest Common Factor (GCF) of 7347,6810 By Common Division

3	7347, 6810
	2449, 2270

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7347,6810 By Matching Biggest Common Factor Method

Now, list down the factors of 7347

1,3,31,79,93,237,2449,7347

Now, list down the factors of 6810

1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810

Greatest Common Factor

We found the factors 7347,6810 . The biggest common factor number is the GCF number.
So the greatest common factor 7347,6810 is 3.

Lets's calculate LCM of 770,6886

Lowest Common Multiple of 770,6886 using Common Division

2	770, 6886
11	385, 3443
	35, 313

∴ So the LCM of the given numbers is 2 x 11 x 35 x 313 = 241010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/241010

Therefore, the GCF of Fractions 7347/770,6810/6886 is 3/241010

Least Common Multiple of 770,6886 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 770,6886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,6886) = 22

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

GCF(770,6886) x common factors =22 x 1 = 22

LCM(770,6886) = ( 770 × 6886 ) / 22

LCM(770,6886) = 5302220 / 22

LCM(770,6886) = 241010

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7347/770, 6810/6886

1. What is the HCF of 7347,6810?

The HCF of 7347,6810 is 3

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 7347/770, 6810/6886?

Answer: GCF of Numerators as per given numbers 7347/770, 6810/6886 is

GCF of Numerators i.e. for 7347,6810 is 3

LCM of denominators i.e. for 770,6886 is 241010.

Thus, GCF of Fractions is 3/241010.Finally, GCF of Fractions for 7347/770, 6810/6886 is 3/241010.