How to Find GCF of 1189/620, 6967/9164?

GCF of 1189/620, 6967/9164

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 1189/620, 6967/9164 i.e 1/1420420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1189/620, 6967/9164.

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 1189/620,6967/9164?

Given fractions are 1189/620,6967/9164

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 1189/620,6967/9164, numerators are 1189,6967

Denominators are 620,9164

The GCF of 1189,6967 is 1 .

LCM of 620,9164 is 1420420.

The greatest common factor of 1189/620,6967/9164 = [GCF of 1189,6967]/[LCM of 620,9164]= 1/1420420

Therefore, the GCF of 1189/620,6967/9164 is 1/1420420.

Greatest Common Factor of 1189,6967

To find the highest common factor of 1189,6967, we have to find the factors of both numbers and list the highest common factor.

The factors of 1189 are 1, 29, 41, 1189

The factors of 6967 are 1, 6967

The HCF of 1189,6967 is 1.

Lets's calculate GCF of 1189,6967

Greatest Common Factor (GCF) of 1189,6967 By Common Division

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

Greatest Common Factor of 1189,6967 By Matching Biggest Common Factor Method

Now, list down the factors of 1189

1,29,41,1189

Now, list down the factors of 6967

1,6967

Greatest Common Factor

We found the factors 1189,6967 . The biggest common factor number is the GCF number.
So the greatest common factor 1189,6967 is 1.

Lets's calculate LCM of 620,9164

Lowest Common Multiple of 620,9164 using Common Division

2	620, 9164
2	310, 4582
	155, 2291

∴ So the LCM of the given numbers is 2 x 2 x 155 x 2291 = 1420420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1420420

Therefore, the GCF of Fractions 1189/620,6967/9164 is 1/1420420

Least Common Multiple of 620,9164 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 620,9164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,9164) = 4

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

GCF(620,9164) x common factors =4 x 1 = 4

LCM(620,9164) = ( 620 × 9164 ) / 4

LCM(620,9164) = 5681680 / 4

LCM(620,9164) = 1420420

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FAQs on GCF of Fractions of 1189/620, 6967/9164

1. What is the HCF of 1189,6967?

The HCF of 1189,6967 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 1189/620, 6967/9164?

Answer: GCF of Numerators as per given numbers 1189/620, 6967/9164 is

GCF of Numerators i.e. for 1189,6967 is 1

LCM of denominators i.e. for 620,9164 is 1420420.

Thus, GCF of Fractions is 1/1420420.Finally, GCF of Fractions for 1189/620, 6967/9164 is 1/1420420.