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GCF of 30/926, 1831/1851

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 30/926, 1831/1851 i.e 1/1714026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/926, 1831/1851.

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 30/926,1831/1851?

Given fractions are 30/926,1831/1851

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 30/926,1831/1851, numerators are 30,1831

Denominators are 926,1851

The GCF of 30,1831 is 1 .

LCM of 926,1851 is 1714026.

The greatest common factor of 30/926,1831/1851 = [GCF of 30,1831]/[LCM of 926,1851]= 1/1714026

Therefore, the GCF of 30/926,1831/1851 is 1/1714026.

Greatest Common Factor of 30,1831

To find the highest common factor of 30,1831, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 1831 are 1, 1831

The HCF of 30,1831 is 1.

Lets's calculate GCF of 30,1831

Greatest Common Factor (GCF) of 30,1831 By Common Division

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

Greatest Common Factor of 30,1831 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,1831 By Matching Biggest Common Factor Method

Now, list down the factors of 30

:

1,2,3,5,6,10,15,30

Now, list down the factors of 1831

:

1,1831

Greatest Common Factor

We found the factors 30,1831 . The biggest common factor number is the GCF number.
So the greatest common factor 30,1831 is 1.

Lets's calculate LCM of 926,1851

Lowest Common Multiple of 926,1851 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1714026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1714026

Therefore, the GCF of Fractions 30/926,1831/1851 is 1/1714026

Least Common Multiple of 926,1851 with GCF Formula

Least Common Multiple of 926,1851 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 926,1851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,1851) = 1

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

GCF(926,1851) x common factors =1 x 1 = 1

LCM(926,1851) = ( 926 × 1851 ) / 1

LCM(926,1851) = 1714026 / 1

LCM(926,1851) = 1714026


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 30/926, 1831/1851

1. What is the HCF of 30,1831?

The HCF of 30,1831 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 30/926, 1831/1851?

Answer: GCF of Numerators as per given numbers 30/926, 1831/1851 is

GCF of Numerators i.e. for 30,1831 is 1

LCM of denominators i.e. for 926,1851 is 1714026.

Thus, GCF of Fractions is 1/1714026.Finally, GCF of Fractions for 30/926, 1831/1851 is 1/1714026.