How to Find GCF of 44/47, 16/49, 130/78?

GCF of 44/47, 16/49, 130/78

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 44/47, 16/49, 130/78 i.e 2/179634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/47, 16/49, 130/78.

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 44/47,16/49,130/78?

Given fractions are 44/47,16/49,130/78

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 44/47,16/49,130/78, numerators are 44,16,130

Denominators are 47,49,78

The GCF of 44,16,130 is 2 .

LCM of 47,49,78 is 179634.

The greatest common factor of 44/47,16/49,130/78 = [GCF of 44,16,130]/[LCM of 47,49,78]= 2/179634

Therefore, the GCF of 44/47,16/49,130/78 is 2/179634.

Greatest Common Factor of 44,16,130

To find the highest common factor of 44,16,130, we have to find the factors of both numbers and list the highest common factor.

The factors of 44 are 1, 2, 4, 11, 22, 44

The factors of 16 are 1, 2, 4, 8, 16

The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130

The HCF of 44,16,130 is 2.

Lets's calculate GCF of 44,16,130

Greatest Common Factor (GCF) of 44,16,130 By Common Division

2	44, 16, 130
	22, 8, 65

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 44,16,130 By Matching Biggest Common Factor Method

Now, list down the factors of 44

1,2,4,11,22,44

Now, list down the factors of 16

1,2,4,8,16

Now, list down the factors of 130

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 44,16,130 . The biggest common factor number is the GCF number.
So the greatest common factor 44,16,130 is 2.

Lets's calculate LCM of 47,49,78

Lowest Common Multiple of 47,49,78 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 179634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/179634

Therefore, the GCF of Fractions 44/47,16/49,130/78 is 2/179634

Least Common Multiple of 47,49,78 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 47,49,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,49,78) = 1

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

GCF(47,49,78) x common factors =1 x 1 = 1

LCM(47,49,78) = ( 47 × 49 × 78 ) / 1

LCM(47,49,78) = 179634 / 1

LCM(47,49,78) = 179634

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FAQs on GCF of Fractions of 44/47, 16/49, 130/78

1. What is the HCF of 44,16,130?

The HCF of 44,16,130 is 2

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 44/47, 16/49, 130/78?

Answer: GCF of Numerators as per given numbers 44/47, 16/49, 130/78 is

GCF of Numerators i.e. for 44,16,130 is 2

LCM of denominators i.e. for 47,49,78 is 179634.

Thus, GCF of Fractions is 2/179634.Finally, GCF of Fractions for 44/47, 16/49, 130/78 is 2/179634.