How to Find GCF of 88/61, 289/83, 837/922?

GCF of 88/61, 289/83, 837/922

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 88/61, 289/83, 837/922 i.e 1/4668086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/61, 289/83, 837/922.

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 88/61,289/83,837/922?

Given fractions are 88/61,289/83,837/922

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 88/61,289/83,837/922, numerators are 88,289,837

Denominators are 61,83,922

The GCF of 88,289,837 is 1 .

LCM of 61,83,922 is 4668086.

The greatest common factor of 88/61,289/83,837/922 = [GCF of 88,289,837]/[LCM of 61,83,922]= 1/4668086

Therefore, the GCF of 88/61,289/83,837/922 is 1/4668086.

Greatest Common Factor of 88,289,837

To find the highest common factor of 88,289,837, we have to find the factors of both numbers and list the highest common factor.

The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88

The factors of 289 are 1, 17, 289

The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837

The HCF of 88,289,837 is 1.

Lets's calculate GCF of 88,289,837

Greatest Common Factor (GCF) of 88,289,837 By Common Division

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

Greatest Common Factor of 88,289,837 By Matching Biggest Common Factor Method

Now, list down the factors of 88

1,2,4,8,11,22,44,88

Now, list down the factors of 289

1,17,289

Now, list down the factors of 837

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 88,289,837 . The biggest common factor number is the GCF number.
So the greatest common factor 88,289,837 is 1.

Lets's calculate LCM of 61,83,922

Lowest Common Multiple of 61,83,922 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4668086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4668086

Therefore, the GCF of Fractions 88/61,289/83,837/922 is 1/4668086

Least Common Multiple of 61,83,922 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 61,83,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,83,922) = 1

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

GCF(61,83,922) x common factors =1 x 1 = 1

LCM(61,83,922) = ( 61 × 83 × 922 ) / 1

LCM(61,83,922) = 4668086 / 1

LCM(61,83,922) = 4668086

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 88/61, 289/83, 837/922

1. What is the HCF of 88,289,837?

The HCF of 88,289,837 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 88/61, 289/83, 837/922?

Answer: GCF of Numerators as per given numbers 88/61, 289/83, 837/922 is

GCF of Numerators i.e. for 88,289,837 is 1

LCM of denominators i.e. for 61,83,922 is 4668086.

Thus, GCF of Fractions is 1/4668086.Finally, GCF of Fractions for 88/61, 289/83, 837/922 is 1/4668086.