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GCF of 842/218, 9719/2834

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 842/218, 9719/2834 i.e 1/2834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 842/218, 9719/2834.

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 842/218,9719/2834?

Given fractions are 842/218,9719/2834

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 842/218,9719/2834, numerators are 842,9719

Denominators are 218,2834

The GCF of 842,9719 is 1 .

LCM of 218,2834 is 2834.

The greatest common factor of 842/218,9719/2834 = [GCF of 842,9719]/[LCM of 218,2834]= 1/2834

Therefore, the GCF of 842/218,9719/2834 is 1/2834.

Greatest Common Factor of 842,9719

To find the highest common factor of 842,9719, we have to find the factors of both numbers and list the highest common factor.

The factors of 842 are 1, 2, 421, 842

The factors of 9719 are 1, 9719

The HCF of 842,9719 is 1.

Lets's calculate GCF of 842,9719

Greatest Common Factor (GCF) of 842,9719 By Common Division

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

Greatest Common Factor of 842,9719 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,9719 By Matching Biggest Common Factor Method

Now, list down the factors of 842

:

1,2,421,842

Now, list down the factors of 9719

:

1,9719

Greatest Common Factor

We found the factors 842,9719 . The biggest common factor number is the GCF number.
So the greatest common factor 842,9719 is 1.

Lets's calculate LCM of 218,2834

Lowest Common Multiple of 218,2834 using Common Division

2 218, 2834
109 109, 1417
1, 13

∴ So the LCM of the given numbers is 2 x 109 x 1 x 13 = 2834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2834

Therefore, the GCF of Fractions 842/218,9719/2834 is 1/2834

Least Common Multiple of 218,2834 with GCF Formula

Least Common Multiple of 218,2834 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 218,2834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,2834) = 218

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

GCF(218,2834) x common factors =218 x 1 = 218

LCM(218,2834) = ( 218 × 2834 ) / 218

LCM(218,2834) = 617812 / 218

LCM(218,2834) = 2834


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FAQs on GCF of Fractions of 842/218, 9719/2834

1. What is the HCF of 842,9719?

The HCF of 842,9719 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 842/218, 9719/2834?

Answer: GCF of Numerators as per given numbers 842/218, 9719/2834 is

GCF of Numerators i.e. for 842,9719 is 1

LCM of denominators i.e. for 218,2834 is 2834.

Thus, GCF of Fractions is 1/2834.Finally, GCF of Fractions for 842/218, 9719/2834 is 1/2834.