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GCF of 988/810, 2027/350

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 988/810, 2027/350 i.e 1/28350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 988/810, 2027/350.

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 988/810,2027/350?

Given fractions are 988/810,2027/350

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 988/810,2027/350, numerators are 988,2027

Denominators are 810,350

The GCF of 988,2027 is 1 .

LCM of 810,350 is 28350.

The greatest common factor of 988/810,2027/350 = [GCF of 988,2027]/[LCM of 810,350]= 1/28350

Therefore, the GCF of 988/810,2027/350 is 1/28350.

Greatest Common Factor of 988,2027

To find the highest common factor of 988,2027, we have to find the factors of both numbers and list the highest common factor.

The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

The factors of 2027 are 1, 2027

The HCF of 988,2027 is 1.

Lets's calculate GCF of 988,2027

Greatest Common Factor (GCF) of 988,2027 By Common Division

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

Greatest Common Factor of 988,2027 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,2027 By Matching Biggest Common Factor Method

Now, list down the factors of 988

:

1,2,4,13,19,26,38,52,76,247,494,988

Now, list down the factors of 2027

:

1,2027

Greatest Common Factor

We found the factors 988,2027 . The biggest common factor number is the GCF number.
So the greatest common factor 988,2027 is 1.

Lets's calculate LCM of 810,350

Lowest Common Multiple of 810,350 using Common Division

2 810, 350
5 405, 175
81, 35

∴ So the LCM of the given numbers is 2 x 5 x 81 x 35 = 28350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28350

Therefore, the GCF of Fractions 988/810,2027/350 is 1/28350

Least Common Multiple of 810,350 with GCF Formula

Least Common Multiple of 810,350 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 810,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,350) = 10

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

GCF(810,350) x common factors =10 x 1 = 10

LCM(810,350) = ( 810 × 350 ) / 10

LCM(810,350) = 283500 / 10

LCM(810,350) = 28350


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FAQs on GCF of Fractions of 988/810, 2027/350

1. What is the HCF of 988,2027?

The HCF of 988,2027 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 988/810, 2027/350?

Answer: GCF of Numerators as per given numbers 988/810, 2027/350 is

GCF of Numerators i.e. for 988,2027 is 1

LCM of denominators i.e. for 810,350 is 28350.

Thus, GCF of Fractions is 1/28350.Finally, GCF of Fractions for 988/810, 2027/350 is 1/28350.