How to Find GCF of 4796/986, 9308/259?

GCF of 4796/986, 9308/259

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 4796/986, 9308/259 i.e 4/255374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4796/986, 9308/259.

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 4796/986,9308/259?

Given fractions are 4796/986,9308/259

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 4796/986,9308/259, numerators are 4796,9308

Denominators are 986,259

The GCF of 4796,9308 is 4 .

LCM of 986,259 is 255374.

The greatest common factor of 4796/986,9308/259 = [GCF of 4796,9308]/[LCM of 986,259]= 4/255374

Therefore, the GCF of 4796/986,9308/259 is 4/255374.

Greatest Common Factor of 4796,9308

To find the highest common factor of 4796,9308, we have to find the factors of both numbers and list the highest common factor.

The factors of 4796 are 1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796

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

The HCF of 4796,9308 is 4.

Lets's calculate GCF of 4796,9308

Greatest Common Factor (GCF) of 4796,9308 By Common Division

2	4796, 9308
2	2398, 4654
	1199, 2327

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4796,9308 By Matching Biggest Common Factor Method

Now, list down the factors of 4796

1,2,4,11,22,44,109,218,436,1199,2398,4796

Now, list down the factors of 9308

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

Greatest Common Factor

We found the factors 4796,9308 . The biggest common factor number is the GCF number.
So the greatest common factor 4796,9308 is 4.

Lets's calculate LCM of 986,259

Lowest Common Multiple of 986,259 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 255374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/255374

Therefore, the GCF of Fractions 4796/986,9308/259 is 4/255374

Least Common Multiple of 986,259 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 986,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,259) = 1

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

GCF(986,259) x common factors =1 x 1 = 1

LCM(986,259) = ( 986 × 259 ) / 1

LCM(986,259) = 255374 / 1

LCM(986,259) = 255374

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FAQs on GCF of Fractions of 4796/986, 9308/259

1. What is the HCF of 4796,9308?

The HCF of 4796,9308 is 4

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 4796/986, 9308/259?

Answer: GCF of Numerators as per given numbers 4796/986, 9308/259 is

GCF of Numerators i.e. for 4796,9308 is 4

LCM of denominators i.e. for 986,259 is 255374.

Thus, GCF of Fractions is 4/255374.Finally, GCF of Fractions for 4796/986, 9308/259 is 4/255374.