How to Find GCF of 836/986, 8900/143?

GCF of 836/986, 8900/143

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 836/986, 8900/143 i.e 4/140998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 836/986, 8900/143.

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 836/986,8900/143?

Given fractions are 836/986,8900/143

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 836/986,8900/143, numerators are 836,8900

Denominators are 986,143

The GCF of 836,8900 is 4 .

LCM of 986,143 is 140998.

The greatest common factor of 836/986,8900/143 = [GCF of 836,8900]/[LCM of 986,143]= 4/140998

Therefore, the GCF of 836/986,8900/143 is 4/140998.

Greatest Common Factor of 836,8900

To find the highest common factor of 836,8900, 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 8900 are 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900

The HCF of 836,8900 is 4.

Lets's calculate GCF of 836,8900

Greatest Common Factor (GCF) of 836,8900 By Common Division

2	836, 8900
2	418, 4450
	209, 2225

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 836,8900 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 8900

1,2,4,5,10,20,25,50,89,100,178,356,445,890,1780,2225,4450,8900

Greatest Common Factor

We found the factors 836,8900 . The biggest common factor number is the GCF number.
So the greatest common factor 836,8900 is 4.

Lets's calculate LCM of 986,143

Lowest Common Multiple of 986,143 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 140998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/140998

Therefore, the GCF of Fractions 836/986,8900/143 is 4/140998

Least Common Multiple of 986,143 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 986,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,143) = 1

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

GCF(986,143) x common factors =1 x 1 = 1

LCM(986,143) = ( 986 × 143 ) / 1

LCM(986,143) = 140998 / 1

LCM(986,143) = 140998

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FAQs on GCF of Fractions of 836/986, 8900/143

1. What is the HCF of 836,8900?

The HCF of 836,8900 is 4

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 836/986, 8900/143?

Answer: GCF of Numerators as per given numbers 836/986, 8900/143 is

GCF of Numerators i.e. for 836,8900 is 4

LCM of denominators i.e. for 986,143 is 140998.

Thus, GCF of Fractions is 4/140998.Finally, GCF of Fractions for 836/986, 8900/143 is 4/140998.