How to Find GCF of 85/918, 44/332, 151/564?

GCF of 85/918, 44/332, 151/564

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 85/918, 44/332, 151/564 i.e 1/7162236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/918, 44/332, 151/564.

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 85/918,44/332,151/564?

Given fractions are 85/918,44/332,151/564

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 85/918,44/332,151/564, numerators are 85,44,151

Denominators are 918,332,564

The GCF of 85,44,151 is 1 .

LCM of 918,332,564 is 7162236.

The greatest common factor of 85/918,44/332,151/564 = [GCF of 85,44,151]/[LCM of 918,332,564]= 1/7162236

Therefore, the GCF of 85/918,44/332,151/564 is 1/7162236.

Greatest Common Factor of 85,44,151

To find the highest common factor of 85,44,151, we have to find the factors of both numbers and list the highest common factor.

The factors of 85 are 1, 5, 17, 85

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

The factors of 151 are 1, 151

The HCF of 85,44,151 is 1.

Lets's calculate GCF of 85,44,151

Greatest Common Factor (GCF) of 85,44,151 By Common Division

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

Greatest Common Factor of 85,44,151 By Matching Biggest Common Factor Method

Now, list down the factors of 85

1,5,17,85

Now, list down the factors of 44

1,2,4,11,22,44

Now, list down the factors of 151

1,151

Greatest Common Factor

We found the factors 85,44,151 . The biggest common factor number is the GCF number.
So the greatest common factor 85,44,151 is 1.

Lets's calculate LCM of 918,332,564

Lowest Common Multiple of 918,332,564 using Common Division

2	918, 332, 564
2	459, 166, 282
3	459, 83, 141
	153, 83, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 153 x 83 x 47 = 7162236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7162236

Therefore, the GCF of Fractions 85/918,44/332,151/564 is 1/7162236

Least Common Multiple of 918,332,564 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 918,332,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,332,564) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(918,332,564) x common factors =2 x 12 = 24

LCM(918,332,564) = ( 918 × 332 × 564 ) / 24

LCM(918,332,564) = 171893664 / 24

LCM(918,332,564) = 7162236

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 85/918, 44/332, 151/564

1. What is the HCF of 85,44,151?

The HCF of 85,44,151 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 85/918, 44/332, 151/564?

Answer: GCF of Numerators as per given numbers 85/918, 44/332, 151/564 is

GCF of Numerators i.e. for 85,44,151 is 1

LCM of denominators i.e. for 918,332,564 is 7162236.

Thus, GCF of Fractions is 1/7162236.Finally, GCF of Fractions for 85/918, 44/332, 151/564 is 1/7162236.