How to Find GCF of 1302/989, 2194/6539?

GCF of 1302/989, 2194/6539

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 1302/989, 2194/6539 i.e 2/6467071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1302/989, 2194/6539.

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 1302/989,2194/6539?

Given fractions are 1302/989,2194/6539

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 1302/989,2194/6539, numerators are 1302,2194

Denominators are 989,6539

The GCF of 1302,2194 is 2 .

LCM of 989,6539 is 6467071.

The greatest common factor of 1302/989,2194/6539 = [GCF of 1302,2194]/[LCM of 989,6539]= 2/6467071

Therefore, the GCF of 1302/989,2194/6539 is 2/6467071.

Greatest Common Factor of 1302,2194

To find the highest common factor of 1302,2194, we have to find the factors of both numbers and list the highest common factor.

The factors of 1302 are 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302

The factors of 2194 are 1, 2, 1097, 2194

The HCF of 1302,2194 is 2.

Lets's calculate GCF of 1302,2194

Greatest Common Factor (GCF) of 1302,2194 By Common Division

2	1302, 2194
	651, 1097

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

Greatest Common Factor of 1302,2194 By Matching Biggest Common Factor Method

Now, list down the factors of 1302

1,2,3,6,7,14,21,31,42,62,93,186,217,434,651,1302

Now, list down the factors of 2194

1,2,1097,2194

Greatest Common Factor

We found the factors 1302,2194 . The biggest common factor number is the GCF number.
So the greatest common factor 1302,2194 is 2.

Lets's calculate LCM of 989,6539

Lowest Common Multiple of 989,6539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6467071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6467071

Therefore, the GCF of Fractions 1302/989,2194/6539 is 2/6467071

Least Common Multiple of 989,6539 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 989,6539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,6539) = 1

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

GCF(989,6539) x common factors =1 x 1 = 1

LCM(989,6539) = ( 989 × 6539 ) / 1

LCM(989,6539) = 6467071 / 1

LCM(989,6539) = 6467071

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FAQs on GCF of Fractions of 1302/989, 2194/6539

1. What is the HCF of 1302,2194?

The HCF of 1302,2194 is 2

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 1302/989, 2194/6539?

Answer: GCF of Numerators as per given numbers 1302/989, 2194/6539 is

GCF of Numerators i.e. for 1302,2194 is 2

LCM of denominators i.e. for 989,6539 is 6467071.

Thus, GCF of Fractions is 2/6467071.Finally, GCF of Fractions for 1302/989, 2194/6539 is 2/6467071.