How to Find GCF of 4863/937, 9410/8598?

GCF of 4863/937, 9410/8598

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 4863/937, 9410/8598 i.e 1/8056326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4863/937, 9410/8598.

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 4863/937,9410/8598?

Given fractions are 4863/937,9410/8598

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 4863/937,9410/8598, numerators are 4863,9410

Denominators are 937,8598

The GCF of 4863,9410 is 1 .

LCM of 937,8598 is 8056326.

The greatest common factor of 4863/937,9410/8598 = [GCF of 4863,9410]/[LCM of 937,8598]= 1/8056326

Therefore, the GCF of 4863/937,9410/8598 is 1/8056326.

Greatest Common Factor of 4863,9410

To find the highest common factor of 4863,9410, we have to find the factors of both numbers and list the highest common factor.

The factors of 4863 are 1, 3, 1621, 4863

The factors of 9410 are 1, 2, 5, 10, 941, 1882, 4705, 9410

The HCF of 4863,9410 is 1.

Lets's calculate GCF of 4863,9410

Greatest Common Factor (GCF) of 4863,9410 By Common Division

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

Greatest Common Factor of 4863,9410 By Matching Biggest Common Factor Method

Now, list down the factors of 4863

1,3,1621,4863

Now, list down the factors of 9410

1,2,5,10,941,1882,4705,9410

Greatest Common Factor

We found the factors 4863,9410 . The biggest common factor number is the GCF number.
So the greatest common factor 4863,9410 is 1.

Lets's calculate LCM of 937,8598

Lowest Common Multiple of 937,8598 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8056326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8056326

Therefore, the GCF of Fractions 4863/937,9410/8598 is 1/8056326

Least Common Multiple of 937,8598 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 937,8598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,8598) = 1

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

GCF(937,8598) x common factors =1 x 1 = 1

LCM(937,8598) = ( 937 × 8598 ) / 1

LCM(937,8598) = 8056326 / 1

LCM(937,8598) = 8056326

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FAQs on GCF of Fractions of 4863/937, 9410/8598

1. What is the HCF of 4863,9410?

The HCF of 4863,9410 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 4863/937, 9410/8598?

Answer: GCF of Numerators as per given numbers 4863/937, 9410/8598 is

GCF of Numerators i.e. for 4863,9410 is 1

LCM of denominators i.e. for 937,8598 is 8056326.

Thus, GCF of Fractions is 1/8056326.Finally, GCF of Fractions for 4863/937, 9410/8598 is 1/8056326.