How to Find GCF of 1898/959, 6760/1350?

GCF of 1898/959, 6760/1350

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 1898/959, 6760/1350 i.e 26/1294650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1898/959, 6760/1350.

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 1898/959,6760/1350?

Given fractions are 1898/959,6760/1350

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 1898/959,6760/1350, numerators are 1898,6760

Denominators are 959,1350

The GCF of 1898,6760 is 26 .

LCM of 959,1350 is 1294650.

The greatest common factor of 1898/959,6760/1350 = [GCF of 1898,6760]/[LCM of 959,1350]= 26/1294650

Therefore, the GCF of 1898/959,6760/1350 is 26/1294650.

Greatest Common Factor of 1898,6760

To find the highest common factor of 1898,6760, we have to find the factors of both numbers and list the highest common factor.

The factors of 1898 are 1, 2, 13, 26, 73, 146, 949, 1898

The factors of 6760 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 3380, 6760

The HCF of 1898,6760 is 26.

Lets's calculate GCF of 1898,6760

Greatest Common Factor (GCF) of 1898,6760 By Common Division

2	1898, 6760
13	949, 3380
	73, 260

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

Greatest Common Factor of 1898,6760 By Matching Biggest Common Factor Method

Now, list down the factors of 1898

1,2,13,26,73,146,949,1898

Now, list down the factors of 6760

1,2,4,5,8,10,13,20,26,40,52,65,104,130,169,260,338,520,676,845,1352,1690,3380,6760

Greatest Common Factor

We found the factors 1898,6760 . The biggest common factor number is the GCF number.
So the greatest common factor 1898,6760 is 26.

Lets's calculate LCM of 959,1350

Lowest Common Multiple of 959,1350 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1294650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/1294650

Therefore, the GCF of Fractions 1898/959,6760/1350 is 26/1294650

Least Common Multiple of 959,1350 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 959,1350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,1350) = 1

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

GCF(959,1350) x common factors =1 x 1 = 1

LCM(959,1350) = ( 959 × 1350 ) / 1

LCM(959,1350) = 1294650 / 1

LCM(959,1350) = 1294650

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FAQs on GCF of Fractions of 1898/959, 6760/1350

1. What is the HCF of 1898,6760?

The HCF of 1898,6760 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 1898/959, 6760/1350?

Answer: GCF of Numerators as per given numbers 1898/959, 6760/1350 is

GCF of Numerators i.e. for 1898,6760 is 26

LCM of denominators i.e. for 959,1350 is 1294650.

Thus, GCF of Fractions is 26/1294650.Finally, GCF of Fractions for 1898/959, 6760/1350 is 26/1294650.