How to Find GCF of 6475/678, 3033/9937?

GCF of 6475/678, 3033/9937

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 6475/678, 3033/9937 i.e 1/6737286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6475/678, 3033/9937.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6475/678,3033/9937?

Given fractions are 6475/678,3033/9937

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 6475/678,3033/9937, numerators are 6475,3033

Denominators are 678,9937

The GCF of 6475,3033 is 1 .

LCM of 678,9937 is 6737286.

The greatest common factor of 6475/678,3033/9937 = [GCF of 6475,3033]/[LCM of 678,9937]= 1/6737286

Therefore, the GCF of 6475/678,3033/9937 is 1/6737286.

Greatest Common Factor of 6475,3033

To find the highest common factor of 6475,3033, we have to find the factors of both numbers and list the highest common factor.

The factors of 6475 are 1, 5, 7, 25, 35, 37, 175, 185, 259, 925, 1295, 6475

The factors of 3033 are 1, 3, 9, 337, 1011, 3033

The HCF of 6475,3033 is 1.

Lets's calculate GCF of 6475,3033

Greatest Common Factor (GCF) of 6475,3033 By Common Division

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

Greatest Common Factor of 6475,3033 By Matching Biggest Common Factor Method

Now, list down the factors of 6475

1,5,7,25,35,37,175,185,259,925,1295,6475

Now, list down the factors of 3033

1,3,9,337,1011,3033

Greatest Common Factor

We found the factors 6475,3033 . The biggest common factor number is the GCF number.
So the greatest common factor 6475,3033 is 1.

Lets's calculate LCM of 678,9937

Lowest Common Multiple of 678,9937 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6737286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6737286

Therefore, the GCF of Fractions 6475/678,3033/9937 is 1/6737286

Least Common Multiple of 678,9937 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 678,9937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,9937) = 1

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

GCF(678,9937) x common factors =1 x 1 = 1

LCM(678,9937) = ( 678 × 9937 ) / 1

LCM(678,9937) = 6737286 / 1

LCM(678,9937) = 6737286

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FAQs on GCF of Fractions of 6475/678, 3033/9937

1. What is the HCF of 6475,3033?

The HCF of 6475,3033 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 6475/678, 3033/9937?

Answer: GCF of Numerators as per given numbers 6475/678, 3033/9937 is

GCF of Numerators i.e. for 6475,3033 is 1

LCM of denominators i.e. for 678,9937 is 6737286.

Thus, GCF of Fractions is 1/6737286.Finally, GCF of Fractions for 6475/678, 3033/9937 is 1/6737286.