How to Find GCF of 8698/120, 1297/1808?

GCF of 8698/120, 1297/1808

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 8698/120, 1297/1808 i.e 1/27120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8698/120, 1297/1808.

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 8698/120,1297/1808?

Given fractions are 8698/120,1297/1808

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 8698/120,1297/1808, numerators are 8698,1297

Denominators are 120,1808

The GCF of 8698,1297 is 1 .

LCM of 120,1808 is 27120.

The greatest common factor of 8698/120,1297/1808 = [GCF of 8698,1297]/[LCM of 120,1808]= 1/27120

Therefore, the GCF of 8698/120,1297/1808 is 1/27120.

Greatest Common Factor of 8698,1297

To find the highest common factor of 8698,1297, we have to find the factors of both numbers and list the highest common factor.

The factors of 8698 are 1, 2, 4349, 8698

The factors of 1297 are 1, 1297

The HCF of 8698,1297 is 1.

Lets's calculate GCF of 8698,1297

Greatest Common Factor (GCF) of 8698,1297 By Common Division

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

Greatest Common Factor of 8698,1297 By Matching Biggest Common Factor Method

Now, list down the factors of 8698

1,2,4349,8698

Now, list down the factors of 1297

1,1297

Greatest Common Factor

We found the factors 8698,1297 . The biggest common factor number is the GCF number.
So the greatest common factor 8698,1297 is 1.

Lets's calculate LCM of 120,1808

Lowest Common Multiple of 120,1808 using Common Division

2	120, 1808
2	60, 904
2	30, 452
	15, 226

∴ So the LCM of the given numbers is 2 x 2 x 2 x 15 x 226 = 27120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27120

Therefore, the GCF of Fractions 8698/120,1297/1808 is 1/27120

Least Common Multiple of 120,1808 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 120,1808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,1808) = 8

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

GCF(120,1808) x common factors =8 x 1 = 8

LCM(120,1808) = ( 120 × 1808 ) / 8

LCM(120,1808) = 216960 / 8

LCM(120,1808) = 27120

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FAQs on GCF of Fractions of 8698/120, 1297/1808

1. What is the HCF of 8698,1297?

The HCF of 8698,1297 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 8698/120, 1297/1808?

Answer: GCF of Numerators as per given numbers 8698/120, 1297/1808 is

GCF of Numerators i.e. for 8698,1297 is 1

LCM of denominators i.e. for 120,1808 is 27120.

Thus, GCF of Fractions is 1/27120.Finally, GCF of Fractions for 8698/120, 1297/1808 is 1/27120.