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GCF of 1879/673, 7097/270

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 1879/673, 7097/270 i.e 1/181710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1879/673, 7097/270.

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 1879/673,7097/270?

Given fractions are 1879/673,7097/270

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 1879/673,7097/270, numerators are 1879,7097

Denominators are 673,270

The GCF of 1879,7097 is 1 .

LCM of 673,270 is 181710.

The greatest common factor of 1879/673,7097/270 = [GCF of 1879,7097]/[LCM of 673,270]= 1/181710

Therefore, the GCF of 1879/673,7097/270 is 1/181710.

Greatest Common Factor of 1879,7097

To find the highest common factor of 1879,7097, we have to find the factors of both numbers and list the highest common factor.

The factors of 1879 are 1, 1879

The factors of 7097 are 1, 47, 151, 7097

The HCF of 1879,7097 is 1.

Lets's calculate GCF of 1879,7097

Greatest Common Factor (GCF) of 1879,7097 By Common Division

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

Greatest Common Factor of 1879,7097 By Matching Biggest Common Factor Method

Greatest Common Factor of 1879,7097 By Matching Biggest Common Factor Method

Now, list down the factors of 1879

:

1,1879

Now, list down the factors of 7097

:

1,47,151,7097

Greatest Common Factor

We found the factors 1879,7097 . The biggest common factor number is the GCF number.
So the greatest common factor 1879,7097 is 1.

Lets's calculate LCM of 673,270

Lowest Common Multiple of 673,270 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 181710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181710

Therefore, the GCF of Fractions 1879/673,7097/270 is 1/181710

Least Common Multiple of 673,270 with GCF Formula

Least Common Multiple of 673,270 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 673,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,270) = 1

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

GCF(673,270) x common factors =1 x 1 = 1

LCM(673,270) = ( 673 × 270 ) / 1

LCM(673,270) = 181710 / 1

LCM(673,270) = 181710


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FAQs on GCF of Fractions of 1879/673, 7097/270

1. What is the HCF of 1879,7097?

The HCF of 1879,7097 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 1879/673, 7097/270?

Answer: GCF of Numerators as per given numbers 1879/673, 7097/270 is

GCF of Numerators i.e. for 1879,7097 is 1

LCM of denominators i.e. for 673,270 is 181710.

Thus, GCF of Fractions is 1/181710.Finally, GCF of Fractions for 1879/673, 7097/270 is 1/181710.