How to Find GCF of 36/860, 42/568, 110/912?

GCF of 36/860, 42/568, 110/912

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 36/860, 42/568, 110/912 i.e 2/13921680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/860, 42/568, 110/912.

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 36/860,42/568,110/912?

Given fractions are 36/860,42/568,110/912

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 36/860,42/568,110/912, numerators are 36,42,110

Denominators are 860,568,912

The GCF of 36,42,110 is 2 .

LCM of 860,568,912 is 13921680.

The greatest common factor of 36/860,42/568,110/912 = [GCF of 36,42,110]/[LCM of 860,568,912]= 2/13921680

Therefore, the GCF of 36/860,42/568,110/912 is 2/13921680.

Greatest Common Factor of 36,42,110

To find the highest common factor of 36,42,110, we have to find the factors of both numbers and list the highest common factor.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110

The HCF of 36,42,110 is 2.

Lets's calculate GCF of 36,42,110

Greatest Common Factor (GCF) of 36,42,110 By Common Division

2	36, 42, 110
	18, 21, 55

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

Greatest Common Factor of 36,42,110 By Matching Biggest Common Factor Method

Now, list down the factors of 36

1,2,3,4,6,9,12,18,36

Now, list down the factors of 42

1,2,3,6,7,14,21,42

Now, list down the factors of 110

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 36,42,110 . The biggest common factor number is the GCF number.
So the greatest common factor 36,42,110 is 2.

Lets's calculate LCM of 860,568,912

Lowest Common Multiple of 860,568,912 using Common Division

2	860, 568, 912
2	430, 284, 456
2	215, 142, 228
	215, 71, 114

∴ So the LCM of the given numbers is 2 x 2 x 2 x 215 x 71 x 114 = 13921680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13921680

Therefore, the GCF of Fractions 36/860,42/568,110/912 is 2/13921680

Least Common Multiple of 860,568,912 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 860,568,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,568,912) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(860,568,912) x common factors =4 x 8 = 32

LCM(860,568,912) = ( 860 × 568 × 912 ) / 32

LCM(860,568,912) = 445493760 / 32

LCM(860,568,912) = 13921680

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 36/860, 42/568, 110/912

1. What is the HCF of 36,42,110?

The HCF of 36,42,110 is 2

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 36/860, 42/568, 110/912?

Answer: GCF of Numerators as per given numbers 36/860, 42/568, 110/912 is

GCF of Numerators i.e. for 36,42,110 is 2

LCM of denominators i.e. for 860,568,912 is 13921680.

Thus, GCF of Fractions is 2/13921680.Finally, GCF of Fractions for 36/860, 42/568, 110/912 is 2/13921680.