How to Find GCF of 5847/766, 3355/6156?

GCF of 5847/766, 3355/6156

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 5847/766, 3355/6156 i.e 1/2357748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5847/766, 3355/6156.

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 5847/766,3355/6156?

Given fractions are 5847/766,3355/6156

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 5847/766,3355/6156, numerators are 5847,3355

Denominators are 766,6156

The GCF of 5847,3355 is 1 .

LCM of 766,6156 is 2357748.

The greatest common factor of 5847/766,3355/6156 = [GCF of 5847,3355]/[LCM of 766,6156]= 1/2357748

Therefore, the GCF of 5847/766,3355/6156 is 1/2357748.

Greatest Common Factor of 5847,3355

To find the highest common factor of 5847,3355, we have to find the factors of both numbers and list the highest common factor.

The factors of 5847 are 1, 3, 1949, 5847

The factors of 3355 are 1, 5, 11, 55, 61, 305, 671, 3355

The HCF of 5847,3355 is 1.

Lets's calculate GCF of 5847,3355

Greatest Common Factor (GCF) of 5847,3355 By Common Division

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

Greatest Common Factor of 5847,3355 By Matching Biggest Common Factor Method

Now, list down the factors of 5847

1,3,1949,5847

Now, list down the factors of 3355

1,5,11,55,61,305,671,3355

Greatest Common Factor

We found the factors 5847,3355 . The biggest common factor number is the GCF number.
So the greatest common factor 5847,3355 is 1.

Lets's calculate LCM of 766,6156

Lowest Common Multiple of 766,6156 using Common Division

2	766, 6156
	383, 3078

∴ So the LCM of the given numbers is 2 x 383 x 3078 = 2357748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2357748

Therefore, the GCF of Fractions 5847/766,3355/6156 is 1/2357748

Least Common Multiple of 766,6156 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 766,6156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,6156) = 2

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

GCF(766,6156) x common factors =2 x 1 = 2

LCM(766,6156) = ( 766 × 6156 ) / 2

LCM(766,6156) = 4715496 / 2

LCM(766,6156) = 2357748

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FAQs on GCF of Fractions of 5847/766, 3355/6156

1. What is the HCF of 5847,3355?

The HCF of 5847,3355 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 5847/766, 3355/6156?

Answer: GCF of Numerators as per given numbers 5847/766, 3355/6156 is

GCF of Numerators i.e. for 5847,3355 is 1

LCM of denominators i.e. for 766,6156 is 2357748.

Thus, GCF of Fractions is 1/2357748.Finally, GCF of Fractions for 5847/766, 3355/6156 is 1/2357748.