How to Find GCF of 6253/946, 3302/8823?

GCF of 6253/946, 3302/8823

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 6253/946, 3302/8823 i.e 13/8346558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6253/946, 3302/8823.

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 6253/946,3302/8823?

Given fractions are 6253/946,3302/8823

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 6253/946,3302/8823, numerators are 6253,3302

Denominators are 946,8823

The GCF of 6253,3302 is 13 .

LCM of 946,8823 is 8346558.

The greatest common factor of 6253/946,3302/8823 = [GCF of 6253,3302]/[LCM of 946,8823]= 13/8346558

Therefore, the GCF of 6253/946,3302/8823 is 13/8346558.

Greatest Common Factor of 6253,3302

To find the highest common factor of 6253,3302, we have to find the factors of both numbers and list the highest common factor.

The factors of 6253 are 1, 13, 37, 169, 481, 6253

The factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302

The HCF of 6253,3302 is 13.

Lets's calculate GCF of 6253,3302

Greatest Common Factor (GCF) of 6253,3302 By Common Division

13	6253, 3302
	481, 254

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6253,3302 By Matching Biggest Common Factor Method

Now, list down the factors of 6253

1,13,37,169,481,6253

Now, list down the factors of 3302

1,2,13,26,127,254,1651,3302

Greatest Common Factor

We found the factors 6253,3302 . The biggest common factor number is the GCF number.
So the greatest common factor 6253,3302 is 13.

Lets's calculate LCM of 946,8823

Lowest Common Multiple of 946,8823 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8346558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/8346558

Therefore, the GCF of Fractions 6253/946,3302/8823 is 13/8346558

Least Common Multiple of 946,8823 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 946,8823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,8823) = 1

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

GCF(946,8823) x common factors =1 x 1 = 1

LCM(946,8823) = ( 946 × 8823 ) / 1

LCM(946,8823) = 8346558 / 1

LCM(946,8823) = 8346558

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6253/946, 3302/8823

1. What is the HCF of 6253,3302?

The HCF of 6253,3302 is 13

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 6253/946, 3302/8823?

Answer: GCF of Numerators as per given numbers 6253/946, 3302/8823 is

GCF of Numerators i.e. for 6253,3302 is 13

LCM of denominators i.e. for 946,8823 is 8346558.

Thus, GCF of Fractions is 13/8346558.Finally, GCF of Fractions for 6253/946, 3302/8823 is 13/8346558.