How to Find GCF of 6767/561, 3140/385?

GCF of 6767/561, 3140/385

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 6767/561, 3140/385 i.e 1/19635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6767/561, 3140/385.

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 6767/561,3140/385?

Given fractions are 6767/561,3140/385

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 6767/561,3140/385, numerators are 6767,3140

Denominators are 561,385

The GCF of 6767,3140 is 1 .

LCM of 561,385 is 19635.

The greatest common factor of 6767/561,3140/385 = [GCF of 6767,3140]/[LCM of 561,385]= 1/19635

Therefore, the GCF of 6767/561,3140/385 is 1/19635.

Greatest Common Factor of 6767,3140

To find the highest common factor of 6767,3140, we have to find the factors of both numbers and list the highest common factor.

The factors of 6767 are 1, 67, 101, 6767

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

The HCF of 6767,3140 is 1.

Lets's calculate GCF of 6767,3140

Greatest Common Factor (GCF) of 6767,3140 By Common Division

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

Greatest Common Factor of 6767,3140 By Matching Biggest Common Factor Method

Now, list down the factors of 6767

1,67,101,6767

Now, list down the factors of 3140

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

Greatest Common Factor

We found the factors 6767,3140 . The biggest common factor number is the GCF number.
So the greatest common factor 6767,3140 is 1.

Lets's calculate LCM of 561,385

Lowest Common Multiple of 561,385 using Common Division

11	561, 385
	51, 35

∴ So the LCM of the given numbers is 11 x 51 x 35 = 19635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19635

Therefore, the GCF of Fractions 6767/561,3140/385 is 1/19635

Least Common Multiple of 561,385 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 561,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,385) = 11

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

GCF(561,385) x common factors =11 x 1 = 11

LCM(561,385) = ( 561 × 385 ) / 11

LCM(561,385) = 215985 / 11

LCM(561,385) = 19635

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FAQs on GCF of Fractions of 6767/561, 3140/385

1. What is the HCF of 6767,3140?

The HCF of 6767,3140 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 6767/561, 3140/385?

Answer: GCF of Numerators as per given numbers 6767/561, 3140/385 is

GCF of Numerators i.e. for 6767,3140 is 1

LCM of denominators i.e. for 561,385 is 19635.

Thus, GCF of Fractions is 1/19635.Finally, GCF of Fractions for 6767/561, 3140/385 is 1/19635.