How to Find GCF of 848/901, 248/509?

GCF of 848/901, 248/509

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 848/901, 248/509 i.e 8/458609 easily. The following is the detailed procedure to determine the greatest common factor of fractions 848/901, 248/509.

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 848/901,248/509?

Given fractions are 848/901,248/509

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 848/901,248/509, numerators are 848,248

Denominators are 901,509

The GCF of 848,248 is 8 .

LCM of 901,509 is 458609.

The greatest common factor of 848/901,248/509 = [GCF of 848,248]/[LCM of 901,509]= 8/458609

Therefore, the GCF of 848/901,248/509 is 8/458609.

Greatest Common Factor of 848,248

To find the highest common factor of 848,248, we have to find the factors of both numbers and list the highest common factor.

The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

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

The HCF of 848,248 is 8.

Lets's calculate GCF of 848,248

Greatest Common Factor (GCF) of 848,248 By Common Division

2	848, 248
2	424, 124
2	212, 62
	106, 31

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 848,248 By Matching Biggest Common Factor Method

Now, list down the factors of 848

1,2,4,8,16,53,106,212,424,848

Now, list down the factors of 248

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

Greatest Common Factor

We found the factors 848,248 . The biggest common factor number is the GCF number.
So the greatest common factor 848,248 is 8.

Lets's calculate LCM of 901,509

Lowest Common Multiple of 901,509 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 458609

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/458609

Therefore, the GCF of Fractions 848/901,248/509 is 8/458609

Least Common Multiple of 901,509 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 901,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,509) = 1

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

GCF(901,509) x common factors =1 x 1 = 1

LCM(901,509) = ( 901 × 509 ) / 1

LCM(901,509) = 458609 / 1

LCM(901,509) = 458609

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FAQs on GCF of Fractions of 848/901, 248/509

1. What is the HCF of 848,248?

The HCF of 848,248 is 8

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 848/901, 248/509?

Answer: GCF of Numerators as per given numbers 848/901, 248/509 is

GCF of Numerators i.e. for 848,248 is 8

LCM of denominators i.e. for 901,509 is 458609.

Thus, GCF of Fractions is 8/458609.Finally, GCF of Fractions for 848/901, 248/509 is 8/458609.