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GCF of 3697/860, 1531/7779

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 3697/860, 1531/7779 i.e 1/6689940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3697/860, 1531/7779.

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 3697/860,1531/7779?

Given fractions are 3697/860,1531/7779

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 3697/860,1531/7779, numerators are 3697,1531

Denominators are 860,7779

The GCF of 3697,1531 is 1 .

LCM of 860,7779 is 6689940.

The greatest common factor of 3697/860,1531/7779 = [GCF of 3697,1531]/[LCM of 860,7779]= 1/6689940

Therefore, the GCF of 3697/860,1531/7779 is 1/6689940.

Greatest Common Factor of 3697,1531

To find the highest common factor of 3697,1531, we have to find the factors of both numbers and list the highest common factor.

The factors of 3697 are 1, 3697

The factors of 1531 are 1, 1531

The HCF of 3697,1531 is 1.

Lets's calculate GCF of 3697,1531

Greatest Common Factor (GCF) of 3697,1531 By Common Division

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

Greatest Common Factor of 3697,1531 By Matching Biggest Common Factor Method

Greatest Common Factor of 3697,1531 By Matching Biggest Common Factor Method

Now, list down the factors of 3697

:

1,3697

Now, list down the factors of 1531

:

1,1531

Greatest Common Factor

We found the factors 3697,1531 . The biggest common factor number is the GCF number.
So the greatest common factor 3697,1531 is 1.

Lets's calculate LCM of 860,7779

Lowest Common Multiple of 860,7779 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6689940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6689940

Therefore, the GCF of Fractions 3697/860,1531/7779 is 1/6689940

Least Common Multiple of 860,7779 with GCF Formula

Least Common Multiple of 860,7779 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 860,7779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,7779) = 1

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

GCF(860,7779) x common factors =1 x 1 = 1

LCM(860,7779) = ( 860 × 7779 ) / 1

LCM(860,7779) = 6689940 / 1

LCM(860,7779) = 6689940


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FAQs on GCF of Fractions of 3697/860, 1531/7779

1. What is the HCF of 3697,1531?

The HCF of 3697,1531 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 3697/860, 1531/7779?

Answer: GCF of Numerators as per given numbers 3697/860, 1531/7779 is

GCF of Numerators i.e. for 3697,1531 is 1

LCM of denominators i.e. for 860,7779 is 6689940.

Thus, GCF of Fractions is 1/6689940.Finally, GCF of Fractions for 3697/860, 1531/7779 is 1/6689940.