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GCF of 286/411, 364/907

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 286/411, 364/907 i.e 26/372777 easily. The following is the detailed procedure to determine the greatest common factor of fractions 286/411, 364/907.

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 286/411,364/907?

Given fractions are 286/411,364/907

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 286/411,364/907, numerators are 286,364

Denominators are 411,907

The GCF of 286,364 is 26 .

LCM of 411,907 is 372777.

The greatest common factor of 286/411,364/907 = [GCF of 286,364]/[LCM of 411,907]= 26/372777

Therefore, the GCF of 286/411,364/907 is 26/372777.

Greatest Common Factor of 286,364

To find the highest common factor of 286,364, we have to find the factors of both numbers and list the highest common factor.

The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286

The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

The HCF of 286,364 is 26.

Lets's calculate GCF of 286,364

Greatest Common Factor (GCF) of 286,364 By Common Division

2 286, 364
13 143, 182
11, 14

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 286,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 286,364 By Matching Biggest Common Factor Method

Now, list down the factors of 286

:

1,2,11,13,22,26,143,286

Now, list down the factors of 364

:

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 286,364 . The biggest common factor number is the GCF number.
So the greatest common factor 286,364 is 26.

Lets's calculate LCM of 411,907

Lowest Common Multiple of 411,907 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 372777

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/372777

Therefore, the GCF of Fractions 286/411,364/907 is 26/372777

Least Common Multiple of 411,907 with GCF Formula

Least Common Multiple of 411,907 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 411,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,907) = 1

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

GCF(411,907) x common factors =1 x 1 = 1

LCM(411,907) = ( 411 × 907 ) / 1

LCM(411,907) = 372777 / 1

LCM(411,907) = 372777


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FAQs on GCF of Fractions of 286/411, 364/907

1. What is the HCF of 286,364?

The HCF of 286,364 is 26

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 286/411, 364/907?

Answer: GCF of Numerators as per given numbers 286/411, 364/907 is

GCF of Numerators i.e. for 286,364 is 26

LCM of denominators i.e. for 411,907 is 372777.

Thus, GCF of Fractions is 26/372777.Finally, GCF of Fractions for 286/411, 364/907 is 26/372777.