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GCF of 703/198, 877/842

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 703/198, 877/842 i.e 1/83358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 703/198, 877/842.

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 703/198,877/842?

Given fractions are 703/198,877/842

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 703/198,877/842, numerators are 703,877

Denominators are 198,842

The GCF of 703,877 is 1 .

LCM of 198,842 is 83358.

The greatest common factor of 703/198,877/842 = [GCF of 703,877]/[LCM of 198,842]= 1/83358

Therefore, the GCF of 703/198,877/842 is 1/83358.

Greatest Common Factor of 703,877

To find the highest common factor of 703,877, we have to find the factors of both numbers and list the highest common factor.

The factors of 703 are 1, 19, 37, 703

The factors of 877 are 1, 877

The HCF of 703,877 is 1.

Lets's calculate GCF of 703,877

Greatest Common Factor (GCF) of 703,877 By Common Division

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

Greatest Common Factor of 703,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,877 By Matching Biggest Common Factor Method

Now, list down the factors of 703

:

1,19,37,703

Now, list down the factors of 877

:

1,877

Greatest Common Factor

We found the factors 703,877 . The biggest common factor number is the GCF number.
So the greatest common factor 703,877 is 1.

Lets's calculate LCM of 198,842

Lowest Common Multiple of 198,842 using Common Division

2 198, 842
99, 421

∴ So the LCM of the given numbers is 2 x 99 x 421 = 83358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83358

Therefore, the GCF of Fractions 703/198,877/842 is 1/83358

Least Common Multiple of 198,842 with GCF Formula

Least Common Multiple of 198,842 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 198,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,842) = 2

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

GCF(198,842) x common factors =2 x 1 = 2

LCM(198,842) = ( 198 × 842 ) / 2

LCM(198,842) = 166716 / 2

LCM(198,842) = 83358


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FAQs on GCF of Fractions of 703/198, 877/842

1. What is the HCF of 703,877?

The HCF of 703,877 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 703/198, 877/842?

Answer: GCF of Numerators as per given numbers 703/198, 877/842 is

GCF of Numerators i.e. for 703,877 is 1

LCM of denominators i.e. for 198,842 is 83358.

Thus, GCF of Fractions is 1/83358.Finally, GCF of Fractions for 703/198, 877/842 is 1/83358.