How to Find GCF of 2548/653, 9698/8483?

GCF of 2548/653, 9698/8483

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 2548/653, 9698/8483 i.e 26/5539399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2548/653, 9698/8483.

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 2548/653,9698/8483?

Given fractions are 2548/653,9698/8483

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 2548/653,9698/8483, numerators are 2548,9698

Denominators are 653,8483

The GCF of 2548,9698 is 26 .

LCM of 653,8483 is 5539399.

The greatest common factor of 2548/653,9698/8483 = [GCF of 2548,9698]/[LCM of 653,8483]= 26/5539399

Therefore, the GCF of 2548/653,9698/8483 is 26/5539399.

Greatest Common Factor of 2548,9698

To find the highest common factor of 2548,9698, we have to find the factors of both numbers and list the highest common factor.

The factors of 2548 are 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274, 2548

The factors of 9698 are 1, 2, 13, 26, 373, 746, 4849, 9698

The HCF of 2548,9698 is 26.

Lets's calculate GCF of 2548,9698

Greatest Common Factor (GCF) of 2548,9698 By Common Division

2	2548, 9698
13	1274, 4849
	98, 373

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

Greatest Common Factor of 2548,9698 By Matching Biggest Common Factor Method

Now, list down the factors of 2548

1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548

Now, list down the factors of 9698

1,2,13,26,373,746,4849,9698

Greatest Common Factor

We found the factors 2548,9698 . The biggest common factor number is the GCF number.
So the greatest common factor 2548,9698 is 26.

Lets's calculate LCM of 653,8483

Lowest Common Multiple of 653,8483 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5539399

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/5539399

Therefore, the GCF of Fractions 2548/653,9698/8483 is 26/5539399

Least Common Multiple of 653,8483 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 653,8483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,8483) = 1

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

GCF(653,8483) x common factors =1 x 1 = 1

LCM(653,8483) = ( 653 × 8483 ) / 1

LCM(653,8483) = 5539399 / 1

LCM(653,8483) = 5539399

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2548/653, 9698/8483

1. What is the HCF of 2548,9698?

The HCF of 2548,9698 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 2548/653, 9698/8483?

Answer: GCF of Numerators as per given numbers 2548/653, 9698/8483 is

GCF of Numerators i.e. for 2548,9698 is 26

LCM of denominators i.e. for 653,8483 is 5539399.

Thus, GCF of Fractions is 26/5539399.Finally, GCF of Fractions for 2548/653, 9698/8483 is 26/5539399.