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GCF of 6276/325, 8878/9433

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 6276/325, 8878/9433 i.e 2/3065725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6276/325, 8878/9433.

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 6276/325,8878/9433?

Given fractions are 6276/325,8878/9433

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 6276/325,8878/9433, numerators are 6276,8878

Denominators are 325,9433

The GCF of 6276,8878 is 2 .

LCM of 325,9433 is 3065725.

The greatest common factor of 6276/325,8878/9433 = [GCF of 6276,8878]/[LCM of 325,9433]= 2/3065725

Therefore, the GCF of 6276/325,8878/9433 is 2/3065725.

Greatest Common Factor of 6276,8878

To find the highest common factor of 6276,8878, we have to find the factors of both numbers and list the highest common factor.

The factors of 6276 are 1, 2, 3, 4, 6, 12, 523, 1046, 1569, 2092, 3138, 6276

The factors of 8878 are 1, 2, 23, 46, 193, 386, 4439, 8878

The HCF of 6276,8878 is 2.

Lets's calculate GCF of 6276,8878

Greatest Common Factor (GCF) of 6276,8878 By Common Division

2 6276, 8878
3138, 4439

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6276,8878 By Matching Biggest Common Factor Method

Greatest Common Factor of 6276,8878 By Matching Biggest Common Factor Method

Now, list down the factors of 6276

:

1,2,3,4,6,12,523,1046,1569,2092,3138,6276

Now, list down the factors of 8878

:

1,2,23,46,193,386,4439,8878

Greatest Common Factor

We found the factors 6276,8878 . The biggest common factor number is the GCF number.
So the greatest common factor 6276,8878 is 2.


Lets's calculate LCM of 325,9433

Lowest Common Multiple of 325,9433 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3065725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3065725

Therefore, the GCF of Fractions 6276/325,8878/9433 is 2/3065725

Least Common Multiple of 325,9433 with GCF Formula

Least Common Multiple of 325,9433 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 325,9433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,9433) = 1

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

GCF(325,9433) x common factors =1 x 1 = 1

LCM(325,9433) = ( 325 × 9433 ) / 1

LCM(325,9433) = 3065725 / 1

LCM(325,9433) = 3065725


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6276/325, 8878/9433

1. What is the HCF of 6276,8878?

The HCF of 6276,8878 is 2

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 6276/325, 8878/9433?

Answer: GCF of Numerators as per given numbers 6276/325, 8878/9433 is

GCF of Numerators i.e. for 6276,8878 is 2

LCM of denominators i.e. for 325,9433 is 3065725.

Thus, GCF of Fractions is 2/3065725.Finally, GCF of Fractions for 6276/325, 8878/9433 is 2/3065725.