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GCF of 836/80, 899/284

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 836/80, 899/284 i.e 1/5680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 836/80, 899/284.

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 836/80,899/284?

Given fractions are 836/80,899/284

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 836/80,899/284, numerators are 836,899

Denominators are 80,284

The GCF of 836,899 is 1 .

LCM of 80,284 is 5680.

The greatest common factor of 836/80,899/284 = [GCF of 836,899]/[LCM of 80,284]= 1/5680

Therefore, the GCF of 836/80,899/284 is 1/5680.

Greatest Common Factor of 836,899

To find the highest common factor of 836,899, we have to find the factors of both numbers and list the highest common factor.

The factors of 836 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

The factors of 899 are 1, 29, 31, 899

The HCF of 836,899 is 1.

Lets's calculate GCF of 836,899

Greatest Common Factor (GCF) of 836,899 By Common Division

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

Greatest Common Factor of 836,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,899 By Matching Biggest Common Factor Method

Now, list down the factors of 836

:

1,2,4,11,19,22,38,44,76,209,418,836

Now, list down the factors of 899

:

1,29,31,899

Greatest Common Factor

We found the factors 836,899 . The biggest common factor number is the GCF number.
So the greatest common factor 836,899 is 1.

Lets's calculate LCM of 80,284

Lowest Common Multiple of 80,284 using Common Division

2 80, 284
2 40, 142
20, 71

∴ So the LCM of the given numbers is 2 x 2 x 20 x 71 = 5680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5680

Therefore, the GCF of Fractions 836/80,899/284 is 1/5680

Least Common Multiple of 80,284 with GCF Formula

Least Common Multiple of 80,284 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 80,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,284) = 4

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

GCF(80,284) x common factors =4 x 1 = 4

LCM(80,284) = ( 80 × 284 ) / 4

LCM(80,284) = 22720 / 4

LCM(80,284) = 5680


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FAQs on GCF of Fractions of 836/80, 899/284

1. What is the HCF of 836,899?

The HCF of 836,899 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 836/80, 899/284?

Answer: GCF of Numerators as per given numbers 836/80, 899/284 is

GCF of Numerators i.e. for 836,899 is 1

LCM of denominators i.e. for 80,284 is 5680.

Thus, GCF of Fractions is 1/5680.Finally, GCF of Fractions for 836/80, 899/284 is 1/5680.