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GCF of 1351/678, 3541/678

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 1351/678, 3541/678 i.e 1/678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1351/678, 3541/678.

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 1351/678,3541/678?

Given fractions are 1351/678,3541/678

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 1351/678,3541/678, numerators are 1351,3541

Denominators are 678,678

The GCF of 1351,3541 is 1 .

LCM of 678,678 is 678.

The greatest common factor of 1351/678,3541/678 = [GCF of 1351,3541]/[LCM of 678,678]= 1/678

Therefore, the GCF of 1351/678,3541/678 is 1/678.

Greatest Common Factor of 1351,3541

To find the highest common factor of 1351,3541, we have to find the factors of both numbers and list the highest common factor.

The factors of 1351 are 1, 7, 193, 1351

The factors of 3541 are 1, 3541

The HCF of 1351,3541 is 1.

Lets's calculate GCF of 1351,3541

Greatest Common Factor (GCF) of 1351,3541 By Common Division

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

Greatest Common Factor of 1351,3541 By Matching Biggest Common Factor Method

Greatest Common Factor of 1351,3541 By Matching Biggest Common Factor Method

Now, list down the factors of 1351

:

1,7,193,1351

Now, list down the factors of 3541

:

1,3541

Greatest Common Factor

We found the factors 1351,3541 . The biggest common factor number is the GCF number.
So the greatest common factor 1351,3541 is 1.

Lets's calculate LCM of 678,678

Lowest Common Multiple of 678,678 using Common Division

2 678, 678
3 339, 339
113 113, 113
1, 1

∴ So the LCM of the given numbers is 2 x 3 x 113 x 1 x 1 = 678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/678

Therefore, the GCF of Fractions 1351/678,3541/678 is 1/678

Least Common Multiple of 678,678 with GCF Formula

Least Common Multiple of 678,678 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 678,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,678) = 678

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

GCF(678,678) x common factors =678 x 1 = 678

LCM(678,678) = ( 678 × 678 ) / 678

LCM(678,678) = 459684 / 678

LCM(678,678) = 678


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FAQs on GCF of Fractions of 1351/678, 3541/678

1. What is the HCF of 1351,3541?

The HCF of 1351,3541 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 1351/678, 3541/678?

Answer: GCF of Numerators as per given numbers 1351/678, 3541/678 is

GCF of Numerators i.e. for 1351,3541 is 1

LCM of denominators i.e. for 678,678 is 678.

Thus, GCF of Fractions is 1/678.Finally, GCF of Fractions for 1351/678, 3541/678 is 1/678.