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GCF of 109/62, 412/835

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 109/62, 412/835 i.e 1/51770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 109/62, 412/835.

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 109/62,412/835?

Given fractions are 109/62,412/835

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 109/62,412/835, numerators are 109,412

Denominators are 62,835

The GCF of 109,412 is 1 .

LCM of 62,835 is 51770.

The greatest common factor of 109/62,412/835 = [GCF of 109,412]/[LCM of 62,835]= 1/51770

Therefore, the GCF of 109/62,412/835 is 1/51770.

Greatest Common Factor of 109,412

To find the highest common factor of 109,412, we have to find the factors of both numbers and list the highest common factor.

The factors of 109 are 1, 109

The factors of 412 are 1, 2, 4, 103, 206, 412

The HCF of 109,412 is 1.

Lets's calculate GCF of 109,412

Greatest Common Factor (GCF) of 109,412 By Common Division

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

Greatest Common Factor of 109,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,412 By Matching Biggest Common Factor Method

Now, list down the factors of 109

:

1,109

Now, list down the factors of 412

:

1,2,4,103,206,412

Greatest Common Factor

We found the factors 109,412 . The biggest common factor number is the GCF number.
So the greatest common factor 109,412 is 1.

Lets's calculate LCM of 62,835

Lowest Common Multiple of 62,835 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 51770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51770

Therefore, the GCF of Fractions 109/62,412/835 is 1/51770

Least Common Multiple of 62,835 with GCF Formula

Least Common Multiple of 62,835 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 62,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,835) = 1

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

GCF(62,835) x common factors =1 x 1 = 1

LCM(62,835) = ( 62 × 835 ) / 1

LCM(62,835) = 51770 / 1

LCM(62,835) = 51770


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FAQs on GCF of Fractions of 109/62, 412/835

1. What is the HCF of 109,412?

The HCF of 109,412 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 109/62, 412/835?

Answer: GCF of Numerators as per given numbers 109/62, 412/835 is

GCF of Numerators i.e. for 109,412 is 1

LCM of denominators i.e. for 62,835 is 51770.

Thus, GCF of Fractions is 1/51770.Finally, GCF of Fractions for 109/62, 412/835 is 1/51770.