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GCF of 4847/870, 9758/2360

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 4847/870, 9758/2360 i.e 1/205320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4847/870, 9758/2360.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4847/870,9758/2360?

Given fractions are 4847/870,9758/2360

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 4847/870,9758/2360, numerators are 4847,9758

Denominators are 870,2360

The GCF of 4847,9758 is 1 .

LCM of 870,2360 is 205320.

The greatest common factor of 4847/870,9758/2360 = [GCF of 4847,9758]/[LCM of 870,2360]= 1/205320

Therefore, the GCF of 4847/870,9758/2360 is 1/205320.

Greatest Common Factor of 4847,9758

To find the highest common factor of 4847,9758, we have to find the factors of both numbers and list the highest common factor.

The factors of 4847 are 1, 37, 131, 4847

The factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758

The HCF of 4847,9758 is 1.

Lets's calculate GCF of 4847,9758

Greatest Common Factor (GCF) of 4847,9758 By Common Division

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

Greatest Common Factor of 4847,9758 By Matching Biggest Common Factor Method

Greatest Common Factor of 4847,9758 By Matching Biggest Common Factor Method

Now, list down the factors of 4847

:

1,37,131,4847

Now, list down the factors of 9758

:

1,2,7,14,17,34,41,82,119,238,287,574,697,1394,4879,9758

Greatest Common Factor

We found the factors 4847,9758 . The biggest common factor number is the GCF number.
So the greatest common factor 4847,9758 is 1.


Lets's calculate LCM of 870,2360

Lowest Common Multiple of 870,2360 using Common Division

2 870, 2360
5 435, 1180
87, 236

∴ So the LCM of the given numbers is 2 x 5 x 87 x 236 = 205320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205320

Therefore, the GCF of Fractions 4847/870,9758/2360 is 1/205320

Least Common Multiple of 870,2360 with GCF Formula

Least Common Multiple of 870,2360 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 870,2360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,2360) = 10

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

GCF(870,2360) x common factors =10 x 1 = 10

LCM(870,2360) = ( 870 × 2360 ) / 10

LCM(870,2360) = 2053200 / 10

LCM(870,2360) = 205320


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4847/870, 9758/2360

1. What is the HCF of 4847,9758?

The HCF of 4847,9758 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 4847/870, 9758/2360?

Answer: GCF of Numerators as per given numbers 4847/870, 9758/2360 is

GCF of Numerators i.e. for 4847,9758 is 1

LCM of denominators i.e. for 870,2360 is 205320.

Thus, GCF of Fractions is 1/205320.Finally, GCF of Fractions for 4847/870, 9758/2360 is 1/205320.