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GCF of 15/110, 3709/8112

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 15/110, 3709/8112 i.e 1/446160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/110, 3709/8112.

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 15/110,3709/8112?

Given fractions are 15/110,3709/8112

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 15/110,3709/8112, numerators are 15,3709

Denominators are 110,8112

The GCF of 15,3709 is 1 .

LCM of 110,8112 is 446160.

The greatest common factor of 15/110,3709/8112 = [GCF of 15,3709]/[LCM of 110,8112]= 1/446160

Therefore, the GCF of 15/110,3709/8112 is 1/446160.

Greatest Common Factor of 15,3709

To find the highest common factor of 15,3709, we have to find the factors of both numbers and list the highest common factor.

The factors of 15 are 1, 3, 5, 15

The factors of 3709 are 1, 3709

The HCF of 15,3709 is 1.

Lets's calculate GCF of 15,3709

Greatest Common Factor (GCF) of 15,3709 By Common Division

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

Greatest Common Factor of 15,3709 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,3709 By Matching Biggest Common Factor Method

Now, list down the factors of 15

:

1,3,5,15

Now, list down the factors of 3709

:

1,3709

Greatest Common Factor

We found the factors 15,3709 . The biggest common factor number is the GCF number.
So the greatest common factor 15,3709 is 1.

Lets's calculate LCM of 110,8112

Lowest Common Multiple of 110,8112 using Common Division

2 110, 8112
55, 4056

∴ So the LCM of the given numbers is 2 x 55 x 4056 = 446160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/446160

Therefore, the GCF of Fractions 15/110,3709/8112 is 1/446160

Least Common Multiple of 110,8112 with GCF Formula

Least Common Multiple of 110,8112 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 110,8112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,8112) = 2

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

GCF(110,8112) x common factors =2 x 1 = 2

LCM(110,8112) = ( 110 × 8112 ) / 2

LCM(110,8112) = 892320 / 2

LCM(110,8112) = 446160


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FAQs on GCF of Fractions of 15/110, 3709/8112

1. What is the HCF of 15,3709?

The HCF of 15,3709 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 15/110, 3709/8112?

Answer: GCF of Numerators as per given numbers 15/110, 3709/8112 is

GCF of Numerators i.e. for 15,3709 is 1

LCM of denominators i.e. for 110,8112 is 446160.

Thus, GCF of Fractions is 1/446160.Finally, GCF of Fractions for 15/110, 3709/8112 is 1/446160.