How to Find GCF of 1950/673, 1313/4700?

GCF of 1950/673, 1313/4700

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 1950/673, 1313/4700 i.e 13/3163100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1950/673, 1313/4700.

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 1950/673,1313/4700?

Given fractions are 1950/673,1313/4700

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 1950/673,1313/4700, numerators are 1950,1313

Denominators are 673,4700

The GCF of 1950,1313 is 13 .

LCM of 673,4700 is 3163100.

The greatest common factor of 1950/673,1313/4700 = [GCF of 1950,1313]/[LCM of 673,4700]= 13/3163100

Therefore, the GCF of 1950/673,1313/4700 is 13/3163100.

Greatest Common Factor of 1950,1313

To find the highest common factor of 1950,1313, we have to find the factors of both numbers and list the highest common factor.

The factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950

The factors of 1313 are 1, 13, 101, 1313

The HCF of 1950,1313 is 13.

Lets's calculate GCF of 1950,1313

Greatest Common Factor (GCF) of 1950,1313 By Common Division

13	1950, 1313
	150, 101

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1950,1313 By Matching Biggest Common Factor Method

Now, list down the factors of 1950

1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950

Now, list down the factors of 1313

1,13,101,1313

Greatest Common Factor

We found the factors 1950,1313 . The biggest common factor number is the GCF number.
So the greatest common factor 1950,1313 is 13.

Lets's calculate LCM of 673,4700

Lowest Common Multiple of 673,4700 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3163100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3163100

Therefore, the GCF of Fractions 1950/673,1313/4700 is 13/3163100

Least Common Multiple of 673,4700 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 673,4700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,4700) = 1

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

GCF(673,4700) x common factors =1 x 1 = 1

LCM(673,4700) = ( 673 × 4700 ) / 1

LCM(673,4700) = 3163100 / 1

LCM(673,4700) = 3163100

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FAQs on GCF of Fractions of 1950/673, 1313/4700

1. What is the HCF of 1950,1313?

The HCF of 1950,1313 is 13

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 1950/673, 1313/4700?

Answer: GCF of Numerators as per given numbers 1950/673, 1313/4700 is

GCF of Numerators i.e. for 1950,1313 is 13

LCM of denominators i.e. for 673,4700 is 3163100.

Thus, GCF of Fractions is 13/3163100.Finally, GCF of Fractions for 1950/673, 1313/4700 is 13/3163100.