How to Find GCF of 3884/374, 6523/6975?

GCF of 3884/374, 6523/6975

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 3884/374, 6523/6975 i.e 1/2608650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3884/374, 6523/6975.

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 3884/374,6523/6975?

Given fractions are 3884/374,6523/6975

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 3884/374,6523/6975, numerators are 3884,6523

Denominators are 374,6975

The GCF of 3884,6523 is 1 .

LCM of 374,6975 is 2608650.

The greatest common factor of 3884/374,6523/6975 = [GCF of 3884,6523]/[LCM of 374,6975]= 1/2608650

Therefore, the GCF of 3884/374,6523/6975 is 1/2608650.

Greatest Common Factor of 3884,6523

To find the highest common factor of 3884,6523, we have to find the factors of both numbers and list the highest common factor.

The factors of 3884 are 1, 2, 4, 971, 1942, 3884

The factors of 6523 are 1, 11, 593, 6523

The HCF of 3884,6523 is 1.

Lets's calculate GCF of 3884,6523

Greatest Common Factor (GCF) of 3884,6523 By Common Division

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

Greatest Common Factor of 3884,6523 By Matching Biggest Common Factor Method

Now, list down the factors of 3884

1,2,4,971,1942,3884

Now, list down the factors of 6523

1,11,593,6523

Greatest Common Factor

We found the factors 3884,6523 . The biggest common factor number is the GCF number.
So the greatest common factor 3884,6523 is 1.

Lets's calculate LCM of 374,6975

Lowest Common Multiple of 374,6975 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2608650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2608650

Therefore, the GCF of Fractions 3884/374,6523/6975 is 1/2608650

Least Common Multiple of 374,6975 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 374,6975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,6975) = 1

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

GCF(374,6975) x common factors =1 x 1 = 1

LCM(374,6975) = ( 374 × 6975 ) / 1

LCM(374,6975) = 2608650 / 1

LCM(374,6975) = 2608650

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FAQs on GCF of Fractions of 3884/374, 6523/6975

1. What is the HCF of 3884,6523?

The HCF of 3884,6523 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 3884/374, 6523/6975?

Answer: GCF of Numerators as per given numbers 3884/374, 6523/6975 is

GCF of Numerators i.e. for 3884,6523 is 1

LCM of denominators i.e. for 374,6975 is 2608650.

Thus, GCF of Fractions is 1/2608650.Finally, GCF of Fractions for 3884/374, 6523/6975 is 1/2608650.