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GCF of 846/566, 208/918

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 846/566, 208/918 i.e 2/259794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 846/566, 208/918.

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 846/566,208/918?

Given fractions are 846/566,208/918

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 846/566,208/918, numerators are 846,208

Denominators are 566,918

The GCF of 846,208 is 2 .

LCM of 566,918 is 259794.

The greatest common factor of 846/566,208/918 = [GCF of 846,208]/[LCM of 566,918]= 2/259794

Therefore, the GCF of 846/566,208/918 is 2/259794.

Greatest Common Factor of 846,208

To find the highest common factor of 846,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 846,208 is 2.

Lets's calculate GCF of 846,208

Greatest Common Factor (GCF) of 846,208 By Common Division

2 846, 208
423, 104

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 846,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,208 By Matching Biggest Common Factor Method

Now, list down the factors of 846

:

1,2,3,6,9,18,47,94,141,282,423,846

Now, list down the factors of 208

:

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 846,208 . The biggest common factor number is the GCF number.
So the greatest common factor 846,208 is 2.

Lets's calculate LCM of 566,918

Lowest Common Multiple of 566,918 using Common Division

2 566, 918
283, 459

∴ So the LCM of the given numbers is 2 x 283 x 459 = 259794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/259794

Therefore, the GCF of Fractions 846/566,208/918 is 2/259794

Least Common Multiple of 566,918 with GCF Formula

Least Common Multiple of 566,918 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 566,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,918) = 2

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

GCF(566,918) x common factors =2 x 1 = 2

LCM(566,918) = ( 566 × 918 ) / 2

LCM(566,918) = 519588 / 2

LCM(566,918) = 259794


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FAQs on GCF of Fractions of 846/566, 208/918

1. What is the HCF of 846,208?

The HCF of 846,208 is 2

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 846/566, 208/918?

Answer: GCF of Numerators as per given numbers 846/566, 208/918 is

GCF of Numerators i.e. for 846,208 is 2

LCM of denominators i.e. for 566,918 is 259794.

Thus, GCF of Fractions is 2/259794.Finally, GCF of Fractions for 846/566, 208/918 is 2/259794.