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GCF of 889/742, 1619/671

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 889/742, 1619/671 i.e 1/497882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 889/742, 1619/671.

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 889/742,1619/671?

Given fractions are 889/742,1619/671

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 889/742,1619/671, numerators are 889,1619

Denominators are 742,671

The GCF of 889,1619 is 1 .

LCM of 742,671 is 497882.

The greatest common factor of 889/742,1619/671 = [GCF of 889,1619]/[LCM of 742,671]= 1/497882

Therefore, the GCF of 889/742,1619/671 is 1/497882.

Greatest Common Factor of 889,1619

To find the highest common factor of 889,1619, we have to find the factors of both numbers and list the highest common factor.

The factors of 889 are 1, 7, 127, 889

The factors of 1619 are 1, 1619

The HCF of 889,1619 is 1.

Lets's calculate GCF of 889,1619

Greatest Common Factor (GCF) of 889,1619 By Common Division

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

Greatest Common Factor of 889,1619 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,1619 By Matching Biggest Common Factor Method

Now, list down the factors of 889

:

1,7,127,889

Now, list down the factors of 1619

:

1,1619

Greatest Common Factor

We found the factors 889,1619 . The biggest common factor number is the GCF number.
So the greatest common factor 889,1619 is 1.

Lets's calculate LCM of 742,671

Lowest Common Multiple of 742,671 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 497882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497882

Therefore, the GCF of Fractions 889/742,1619/671 is 1/497882

Least Common Multiple of 742,671 with GCF Formula

Least Common Multiple of 742,671 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 742,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,671) = 1

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

GCF(742,671) x common factors =1 x 1 = 1

LCM(742,671) = ( 742 × 671 ) / 1

LCM(742,671) = 497882 / 1

LCM(742,671) = 497882


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FAQs on GCF of Fractions of 889/742, 1619/671

1. What is the HCF of 889,1619?

The HCF of 889,1619 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 889/742, 1619/671?

Answer: GCF of Numerators as per given numbers 889/742, 1619/671 is

GCF of Numerators i.e. for 889,1619 is 1

LCM of denominators i.e. for 742,671 is 497882.

Thus, GCF of Fractions is 1/497882.Finally, GCF of Fractions for 889/742, 1619/671 is 1/497882.