How to Find GCF of 3297/860, 2374/6911?

GCF of 3297/860, 2374/6911

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 3297/860, 2374/6911 i.e 1/5943460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3297/860, 2374/6911.

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 3297/860,2374/6911?

Given fractions are 3297/860,2374/6911

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 3297/860,2374/6911, numerators are 3297,2374

Denominators are 860,6911

The GCF of 3297,2374 is 1 .

LCM of 860,6911 is 5943460.

The greatest common factor of 3297/860,2374/6911 = [GCF of 3297,2374]/[LCM of 860,6911]= 1/5943460

Therefore, the GCF of 3297/860,2374/6911 is 1/5943460.

Greatest Common Factor of 3297,2374

To find the highest common factor of 3297,2374, we have to find the factors of both numbers and list the highest common factor.

The factors of 3297 are 1, 3, 7, 21, 157, 471, 1099, 3297

The factors of 2374 are 1, 2, 1187, 2374

The HCF of 3297,2374 is 1.

Lets's calculate GCF of 3297,2374

Greatest Common Factor (GCF) of 3297,2374 By Common Division

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

Greatest Common Factor of 3297,2374 By Matching Biggest Common Factor Method

Now, list down the factors of 3297

1,3,7,21,157,471,1099,3297

Now, list down the factors of 2374

1,2,1187,2374

Greatest Common Factor

We found the factors 3297,2374 . The biggest common factor number is the GCF number.
So the greatest common factor 3297,2374 is 1.

Lets's calculate LCM of 860,6911

Lowest Common Multiple of 860,6911 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5943460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5943460

Therefore, the GCF of Fractions 3297/860,2374/6911 is 1/5943460

Least Common Multiple of 860,6911 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 860,6911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,6911) = 1

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

GCF(860,6911) x common factors =1 x 1 = 1

LCM(860,6911) = ( 860 × 6911 ) / 1

LCM(860,6911) = 5943460 / 1

LCM(860,6911) = 5943460

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FAQs on GCF of Fractions of 3297/860, 2374/6911

1. What is the HCF of 3297,2374?

The HCF of 3297,2374 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 3297/860, 2374/6911?

Answer: GCF of Numerators as per given numbers 3297/860, 2374/6911 is

GCF of Numerators i.e. for 3297,2374 is 1

LCM of denominators i.e. for 860,6911 is 5943460.

Thus, GCF of Fractions is 1/5943460.Finally, GCF of Fractions for 3297/860, 2374/6911 is 1/5943460.