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GCF of 8174/770, 1067/180

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 8174/770, 1067/180 i.e 1/13860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8174/770, 1067/180.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8174/770,1067/180?

Given fractions are 8174/770,1067/180

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 8174/770,1067/180, numerators are 8174,1067

Denominators are 770,180

The GCF of 8174,1067 is 1 .

LCM of 770,180 is 13860.

The greatest common factor of 8174/770,1067/180 = [GCF of 8174,1067]/[LCM of 770,180]= 1/13860

Therefore, the GCF of 8174/770,1067/180 is 1/13860.

Greatest Common Factor of 8174,1067

To find the highest common factor of 8174,1067, we have to find the factors of both numbers and list the highest common factor.

The factors of 8174 are 1, 2, 61, 67, 122, 134, 4087, 8174

The factors of 1067 are 1, 11, 97, 1067

The HCF of 8174,1067 is 1.

Lets's calculate GCF of 8174,1067

Greatest Common Factor (GCF) of 8174,1067 By Common Division

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

Greatest Common Factor of 8174,1067 By Matching Biggest Common Factor Method

Greatest Common Factor of 8174,1067 By Matching Biggest Common Factor Method

Now, list down the factors of 8174

:

1,2,61,67,122,134,4087,8174

Now, list down the factors of 1067

:

1,11,97,1067

Greatest Common Factor

We found the factors 8174,1067 . The biggest common factor number is the GCF number.
So the greatest common factor 8174,1067 is 1.

Lets's calculate LCM of 770,180

Lowest Common Multiple of 770,180 using Common Division

2 770, 180
5 385, 90
77, 18

∴ So the LCM of the given numbers is 2 x 5 x 77 x 18 = 13860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13860

Therefore, the GCF of Fractions 8174/770,1067/180 is 1/13860

Least Common Multiple of 770,180 with GCF Formula

Least Common Multiple of 770,180 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 770,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,180) = 10

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

GCF(770,180) x common factors =10 x 1 = 10

LCM(770,180) = ( 770 × 180 ) / 10

LCM(770,180) = 138600 / 10

LCM(770,180) = 13860


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8174/770, 1067/180

1. What is the HCF of 8174,1067?

The HCF of 8174,1067 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 8174/770, 1067/180?

Answer: GCF of Numerators as per given numbers 8174/770, 1067/180 is

GCF of Numerators i.e. for 8174,1067 is 1

LCM of denominators i.e. for 770,180 is 13860.

Thus, GCF of Fractions is 1/13860.Finally, GCF of Fractions for 8174/770, 1067/180 is 1/13860.