How to Find GCF of 4888/250, 4238/6945?

GCF of 4888/250, 4238/6945

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 4888/250, 4238/6945 i.e 26/347250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4888/250, 4238/6945.

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 4888/250,4238/6945?

Given fractions are 4888/250,4238/6945

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 4888/250,4238/6945, numerators are 4888,4238

Denominators are 250,6945

The GCF of 4888,4238 is 26 .

LCM of 250,6945 is 347250.

The greatest common factor of 4888/250,4238/6945 = [GCF of 4888,4238]/[LCM of 250,6945]= 26/347250

Therefore, the GCF of 4888/250,4238/6945 is 26/347250.

Greatest Common Factor of 4888,4238

To find the highest common factor of 4888,4238, we have to find the factors of both numbers and list the highest common factor.

The factors of 4888 are 1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444, 4888

The factors of 4238 are 1, 2, 13, 26, 163, 326, 2119, 4238

The HCF of 4888,4238 is 26.

Lets's calculate GCF of 4888,4238

Greatest Common Factor (GCF) of 4888,4238 By Common Division

2	4888, 4238
13	2444, 2119
	188, 163

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 4888,4238 By Matching Biggest Common Factor Method

Now, list down the factors of 4888

1,2,4,8,13,26,47,52,94,104,188,376,611,1222,2444,4888

Now, list down the factors of 4238

1,2,13,26,163,326,2119,4238

Greatest Common Factor

We found the factors 4888,4238 . The biggest common factor number is the GCF number.
So the greatest common factor 4888,4238 is 26.

Lets's calculate LCM of 250,6945

Lowest Common Multiple of 250,6945 using Common Division

5	250, 6945
	50, 1389

∴ So the LCM of the given numbers is 5 x 50 x 1389 = 347250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/347250

Therefore, the GCF of Fractions 4888/250,4238/6945 is 26/347250

Least Common Multiple of 250,6945 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 250,6945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,6945) = 5

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

GCF(250,6945) x common factors =5 x 1 = 5

LCM(250,6945) = ( 250 × 6945 ) / 5

LCM(250,6945) = 1736250 / 5

LCM(250,6945) = 347250

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FAQs on GCF of Fractions of 4888/250, 4238/6945

1. What is the HCF of 4888,4238?

The HCF of 4888,4238 is 26

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 4888/250, 4238/6945?

Answer: GCF of Numerators as per given numbers 4888/250, 4238/6945 is

GCF of Numerators i.e. for 4888,4238 is 26

LCM of denominators i.e. for 250,6945 is 347250.

Thus, GCF of Fractions is 26/347250.Finally, GCF of Fractions for 4888/250, 4238/6945 is 26/347250.