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GCF of 7461/883, 6373/945

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 7461/883, 6373/945 i.e 1/834435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7461/883, 6373/945.

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 7461/883,6373/945?

Given fractions are 7461/883,6373/945

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 7461/883,6373/945, numerators are 7461,6373

Denominators are 883,945

The GCF of 7461,6373 is 1 .

LCM of 883,945 is 834435.

The greatest common factor of 7461/883,6373/945 = [GCF of 7461,6373]/[LCM of 883,945]= 1/834435

Therefore, the GCF of 7461/883,6373/945 is 1/834435.

Greatest Common Factor of 7461,6373

To find the highest common factor of 7461,6373, we have to find the factors of both numbers and list the highest common factor.

The factors of 7461 are 1, 3, 9, 829, 2487, 7461

The factors of 6373 are 1, 6373

The HCF of 7461,6373 is 1.

Lets's calculate GCF of 7461,6373

Greatest Common Factor (GCF) of 7461,6373 By Common Division

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

Greatest Common Factor of 7461,6373 By Matching Biggest Common Factor Method

Greatest Common Factor of 7461,6373 By Matching Biggest Common Factor Method

Now, list down the factors of 7461

:

1,3,9,829,2487,7461

Now, list down the factors of 6373

:

1,6373

Greatest Common Factor

We found the factors 7461,6373 . The biggest common factor number is the GCF number.
So the greatest common factor 7461,6373 is 1.

Lets's calculate LCM of 883,945

Lowest Common Multiple of 883,945 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 834435

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/834435

Therefore, the GCF of Fractions 7461/883,6373/945 is 1/834435

Least Common Multiple of 883,945 with GCF Formula

Least Common Multiple of 883,945 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 883,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(883,945) = 1

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

GCF(883,945) x common factors =1 x 1 = 1

LCM(883,945) = ( 883 × 945 ) / 1

LCM(883,945) = 834435 / 1

LCM(883,945) = 834435


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7461/883, 6373/945

1. What is the HCF of 7461,6373?

The HCF of 7461,6373 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 7461/883, 6373/945?

Answer: GCF of Numerators as per given numbers 7461/883, 6373/945 is

GCF of Numerators i.e. for 7461,6373 is 1

LCM of denominators i.e. for 883,945 is 834435.

Thus, GCF of Fractions is 1/834435.Finally, GCF of Fractions for 7461/883, 6373/945 is 1/834435.