How to Find GCF of 47/30, 807/95, 573/502?

GCF of 47/30, 807/95, 573/502

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 47/30, 807/95, 573/502 i.e 1/143070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 47/30, 807/95, 573/502.

Enter two or more fractions separated by "commas"

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

What is the GCF of 47/30,807/95,573/502?

Given fractions are 47/30,807/95,573/502

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 47/30,807/95,573/502, numerators are 47,807,573

Denominators are 30,95,502

The GCF of 47,807,573 is 1 .

LCM of 30,95,502 is 143070.

The greatest common factor of 47/30,807/95,573/502 = [GCF of 47,807,573]/[LCM of 30,95,502]= 1/143070

Therefore, the GCF of 47/30,807/95,573/502 is 1/143070.

Greatest Common Factor of 47,807,573

To find the highest common factor of 47,807,573, we have to find the factors of both numbers and list the highest common factor.

The factors of 47 are 1, 47

The factors of 807 are 1, 3, 269, 807

The factors of 573 are 1, 3, 191, 573

The HCF of 47,807,573 is 1.

Lets's calculate GCF of 47,807,573

Greatest Common Factor (GCF) of 47,807,573 By Common Division

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

Greatest Common Factor of 47,807,573 By Matching Biggest Common Factor Method

Now, list down the factors of 47

1,47

Now, list down the factors of 807

1,3,269,807

Now, list down the factors of 573

1,3,191,573

Greatest Common Factor

We found the factors 47,807,573 . The biggest common factor number is the GCF number.
So the greatest common factor 47,807,573 is 1.

Lets's calculate LCM of 30,95,502

Lowest Common Multiple of 30,95,502 using Common Division

2	30, 95, 502
5	15, 95, 251
	3, 19, 251

∴ So the LCM of the given numbers is 2 x 5 x 3 x 19 x 251 = 143070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143070

Therefore, the GCF of Fractions 47/30,807/95,573/502 is 1/143070

Least Common Multiple of 30,95,502 with GCF Formula

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

We need to calculate greatest common factor of 30,95,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,95,502) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(30,95,502) x common factors =1 x 10 = 10

LCM(30,95,502) = ( 30 × 95 × 502 ) / 10

LCM(30,95,502) = 1430700 / 10

LCM(30,95,502) = 143070

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FAQs on GCF of Fractions of 47/30, 807/95, 573/502

1. What is the HCF of 47,807,573?

The HCF of 47,807,573 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 47/30, 807/95, 573/502?

Answer: GCF of Numerators as per given numbers 47/30, 807/95, 573/502 is

GCF of Numerators i.e. for 47,807,573 is 1

LCM of denominators i.e. for 30,95,502 is 143070.

Thus, GCF of Fractions is 1/143070.Finally, GCF of Fractions for 47/30, 807/95, 573/502 is 1/143070.