How to Find GCF of 6265/978, 5941/6776?

GCF of 6265/978, 5941/6776

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 6265/978, 5941/6776 i.e 1/3313464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6265/978, 5941/6776.

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 6265/978,5941/6776?

Given fractions are 6265/978,5941/6776

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 6265/978,5941/6776, numerators are 6265,5941

Denominators are 978,6776

The GCF of 6265,5941 is 1 .

LCM of 978,6776 is 3313464.

The greatest common factor of 6265/978,5941/6776 = [GCF of 6265,5941]/[LCM of 978,6776]= 1/3313464

Therefore, the GCF of 6265/978,5941/6776 is 1/3313464.

Greatest Common Factor of 6265,5941

To find the highest common factor of 6265,5941, we have to find the factors of both numbers and list the highest common factor.

The factors of 6265 are 1, 5, 7, 35, 179, 895, 1253, 6265

The factors of 5941 are 1, 13, 457, 5941

The HCF of 6265,5941 is 1.

Lets's calculate GCF of 6265,5941

Greatest Common Factor (GCF) of 6265,5941 By Common Division

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

Greatest Common Factor of 6265,5941 By Matching Biggest Common Factor Method

Now, list down the factors of 6265

1,5,7,35,179,895,1253,6265

Now, list down the factors of 5941

1,13,457,5941

Greatest Common Factor

We found the factors 6265,5941 . The biggest common factor number is the GCF number.
So the greatest common factor 6265,5941 is 1.

Lets's calculate LCM of 978,6776

Lowest Common Multiple of 978,6776 using Common Division

2	978, 6776
	489, 3388

∴ So the LCM of the given numbers is 2 x 489 x 3388 = 3313464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3313464

Therefore, the GCF of Fractions 6265/978,5941/6776 is 1/3313464

Least Common Multiple of 978,6776 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 978,6776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,6776) = 2

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

GCF(978,6776) x common factors =2 x 1 = 2

LCM(978,6776) = ( 978 × 6776 ) / 2

LCM(978,6776) = 6626928 / 2

LCM(978,6776) = 3313464

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6265/978, 5941/6776

1. What is the HCF of 6265,5941?

The HCF of 6265,5941 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 6265/978, 5941/6776?

Answer: GCF of Numerators as per given numbers 6265/978, 5941/6776 is

GCF of Numerators i.e. for 6265,5941 is 1

LCM of denominators i.e. for 978,6776 is 3313464.

Thus, GCF of Fractions is 1/3313464.Finally, GCF of Fractions for 6265/978, 5941/6776 is 1/3313464.