How to Find GCF of 9308/852, 8333/3025?

GCF of 9308/852, 8333/3025

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 9308/852, 8333/3025 i.e 13/2577300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9308/852, 8333/3025.

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 9308/852,8333/3025?

Given fractions are 9308/852,8333/3025

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 9308/852,8333/3025, numerators are 9308,8333

Denominators are 852,3025

The GCF of 9308,8333 is 13 .

LCM of 852,3025 is 2577300.

The greatest common factor of 9308/852,8333/3025 = [GCF of 9308,8333]/[LCM of 852,3025]= 13/2577300

Therefore, the GCF of 9308/852,8333/3025 is 13/2577300.

Greatest Common Factor of 9308,8333

To find the highest common factor of 9308,8333, we have to find the factors of both numbers and list the highest common factor.

The factors of 9308 are 1, 2, 4, 13, 26, 52, 179, 358, 716, 2327, 4654, 9308

The factors of 8333 are 1, 13, 641, 8333

The HCF of 9308,8333 is 13.

Lets's calculate GCF of 9308,8333

Greatest Common Factor (GCF) of 9308,8333 By Common Division

13	9308, 8333
	716, 641

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

Greatest Common Factor of 9308,8333 By Matching Biggest Common Factor Method

Now, list down the factors of 9308

1,2,4,13,26,52,179,358,716,2327,4654,9308

Now, list down the factors of 8333

1,13,641,8333

Greatest Common Factor

We found the factors 9308,8333 . The biggest common factor number is the GCF number.
So the greatest common factor 9308,8333 is 13.

Lets's calculate LCM of 852,3025

Lowest Common Multiple of 852,3025 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2577300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2577300

Therefore, the GCF of Fractions 9308/852,8333/3025 is 13/2577300

Least Common Multiple of 852,3025 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 852,3025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,3025) = 1

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

GCF(852,3025) x common factors =1 x 1 = 1

LCM(852,3025) = ( 852 × 3025 ) / 1

LCM(852,3025) = 2577300 / 1

LCM(852,3025) = 2577300

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FAQs on GCF of Fractions of 9308/852, 8333/3025

1. What is the HCF of 9308,8333?

The HCF of 9308,8333 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 9308/852, 8333/3025?

Answer: GCF of Numerators as per given numbers 9308/852, 8333/3025 is

GCF of Numerators i.e. for 9308,8333 is 13

LCM of denominators i.e. for 852,3025 is 2577300.

Thus, GCF of Fractions is 13/2577300.Finally, GCF of Fractions for 9308/852, 8333/3025 is 13/2577300.