How to Find GCF of 248/208, 1012/6190?

GCF of 248/208, 1012/6190

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 248/208, 1012/6190 i.e 4/643760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 248/208, 1012/6190.

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 248/208,1012/6190?

Given fractions are 248/208,1012/6190

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 248/208,1012/6190, numerators are 248,1012

Denominators are 208,6190

The GCF of 248,1012 is 4 .

LCM of 208,6190 is 643760.

The greatest common factor of 248/208,1012/6190 = [GCF of 248,1012]/[LCM of 208,6190]= 4/643760

Therefore, the GCF of 248/208,1012/6190 is 4/643760.

Greatest Common Factor of 248,1012

To find the highest common factor of 248,1012, we have to find the factors of both numbers and list the highest common factor.

The factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248

The factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012

The HCF of 248,1012 is 4.

Lets's calculate GCF of 248,1012

Greatest Common Factor (GCF) of 248,1012 By Common Division

2	248, 1012
2	124, 506
	62, 253

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

Greatest Common Factor of 248,1012 By Matching Biggest Common Factor Method

Now, list down the factors of 248

1,2,4,8,31,62,124,248

Now, list down the factors of 1012

1,2,4,11,22,23,44,46,92,253,506,1012

Greatest Common Factor

We found the factors 248,1012 . The biggest common factor number is the GCF number.
So the greatest common factor 248,1012 is 4.

Lets's calculate LCM of 208,6190

Lowest Common Multiple of 208,6190 using Common Division

2	208, 6190
	104, 3095

∴ So the LCM of the given numbers is 2 x 104 x 3095 = 643760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/643760

Therefore, the GCF of Fractions 248/208,1012/6190 is 4/643760

Least Common Multiple of 208,6190 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 208,6190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,6190) = 2

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

GCF(208,6190) x common factors =2 x 1 = 2

LCM(208,6190) = ( 208 × 6190 ) / 2

LCM(208,6190) = 1287520 / 2

LCM(208,6190) = 643760

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FAQs on GCF of Fractions of 248/208, 1012/6190

1. What is the HCF of 248,1012?

The HCF of 248,1012 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 248/208, 1012/6190?

Answer: GCF of Numerators as per given numbers 248/208, 1012/6190 is

GCF of Numerators i.e. for 248,1012 is 4

LCM of denominators i.e. for 208,6190 is 643760.

Thus, GCF of Fractions is 4/643760.Finally, GCF of Fractions for 248/208, 1012/6190 is 4/643760.