How to Find GCF of 9358/314, 6298/9750?

GCF of 9358/314, 6298/9750

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 9358/314, 6298/9750 i.e 2/1530750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9358/314, 6298/9750.

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 9358/314,6298/9750?

Given fractions are 9358/314,6298/9750

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 9358/314,6298/9750, numerators are 9358,6298

Denominators are 314,9750

The GCF of 9358,6298 is 2 .

LCM of 314,9750 is 1530750.

The greatest common factor of 9358/314,6298/9750 = [GCF of 9358,6298]/[LCM of 314,9750]= 2/1530750

Therefore, the GCF of 9358/314,6298/9750 is 2/1530750.

Greatest Common Factor of 9358,6298

To find the highest common factor of 9358,6298, we have to find the factors of both numbers and list the highest common factor.

The factors of 9358 are 1, 2, 4679, 9358

The factors of 6298 are 1, 2, 47, 67, 94, 134, 3149, 6298

The HCF of 9358,6298 is 2.

Lets's calculate GCF of 9358,6298

Greatest Common Factor (GCF) of 9358,6298 By Common Division

2	9358, 6298
	4679, 3149

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

Greatest Common Factor of 9358,6298 By Matching Biggest Common Factor Method

Now, list down the factors of 9358

1,2,4679,9358

Now, list down the factors of 6298

1,2,47,67,94,134,3149,6298

Greatest Common Factor

We found the factors 9358,6298 . The biggest common factor number is the GCF number.
So the greatest common factor 9358,6298 is 2.

Lets's calculate LCM of 314,9750

Lowest Common Multiple of 314,9750 using Common Division

2	314, 9750
	157, 4875

∴ So the LCM of the given numbers is 2 x 157 x 4875 = 1530750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1530750

Therefore, the GCF of Fractions 9358/314,6298/9750 is 2/1530750

Least Common Multiple of 314,9750 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 314,9750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,9750) = 2

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

GCF(314,9750) x common factors =2 x 1 = 2

LCM(314,9750) = ( 314 × 9750 ) / 2

LCM(314,9750) = 3061500 / 2

LCM(314,9750) = 1530750

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9358/314, 6298/9750

1. What is the HCF of 9358,6298?

The HCF of 9358,6298 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 9358/314, 6298/9750?

Answer: GCF of Numerators as per given numbers 9358/314, 6298/9750 is

GCF of Numerators i.e. for 9358,6298 is 2

LCM of denominators i.e. for 314,9750 is 1530750.

Thus, GCF of Fractions is 2/1530750.Finally, GCF of Fractions for 9358/314, 6298/9750 is 2/1530750.