How to Find GCF of 15/350, 584/776, 143/748?

GCF of 15/350, 584/776, 143/748

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 15/350, 584/776, 143/748 i.e 1/25394600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/350, 584/776, 143/748.

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 15/350,584/776,143/748?

Given fractions are 15/350,584/776,143/748

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 15/350,584/776,143/748, numerators are 15,584,143

Denominators are 350,776,748

The GCF of 15,584,143 is 1 .

LCM of 350,776,748 is 25394600.

The greatest common factor of 15/350,584/776,143/748 = [GCF of 15,584,143]/[LCM of 350,776,748]= 1/25394600

Therefore, the GCF of 15/350,584/776,143/748 is 1/25394600.

Greatest Common Factor of 15,584,143

To find the highest common factor of 15,584,143, we have to find the factors of both numbers and list the highest common factor.

The factors of 15 are 1, 3, 5, 15

The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584

The factors of 143 are 1, 11, 13, 143

The HCF of 15,584,143 is 1.

Lets's calculate GCF of 15,584,143

Greatest Common Factor (GCF) of 15,584,143 By Common Division

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

Greatest Common Factor of 15,584,143 By Matching Biggest Common Factor Method

Now, list down the factors of 15

1,3,5,15

Now, list down the factors of 584

1,2,4,8,73,146,292,584

Now, list down the factors of 143

1,11,13,143

Greatest Common Factor

We found the factors 15,584,143 . The biggest common factor number is the GCF number.
So the greatest common factor 15,584,143 is 1.

Lets's calculate LCM of 350,776,748

Lowest Common Multiple of 350,776,748 using Common Division

2	350, 776, 748
2	175, 388, 374
	175, 194, 187

∴ So the LCM of the given numbers is 2 x 2 x 175 x 194 x 187 = 25394600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25394600

Therefore, the GCF of Fractions 15/350,584/776,143/748 is 1/25394600

Least Common Multiple of 350,776,748 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 350,776,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,776,748) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(350,776,748) x common factors =2 x 4 = 8

LCM(350,776,748) = ( 350 × 776 × 748 ) / 8

LCM(350,776,748) = 203156800 / 8

LCM(350,776,748) = 25394600

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 15/350, 584/776, 143/748

1. What is the HCF of 15,584,143?

The HCF of 15,584,143 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 15/350, 584/776, 143/748?

Answer: GCF of Numerators as per given numbers 15/350, 584/776, 143/748 is

GCF of Numerators i.e. for 15,584,143 is 1

LCM of denominators i.e. for 350,776,748 is 25394600.

Thus, GCF of Fractions is 1/25394600.Finally, GCF of Fractions for 15/350, 584/776, 143/748 is 1/25394600.