How to Find GCF of 390/926, 520/970?

GCF of 390/926, 520/970

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 390/926, 520/970 i.e 130/449110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 390/926, 520/970.

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 390/926,520/970?

Given fractions are 390/926,520/970

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 390/926,520/970, numerators are 390,520

Denominators are 926,970

The GCF of 390,520 is 130 .

LCM of 926,970 is 449110.

The greatest common factor of 390/926,520/970 = [GCF of 390,520]/[LCM of 926,970]= 130/449110

Therefore, the GCF of 390/926,520/970 is 130/449110.

Greatest Common Factor of 390,520

To find the highest common factor of 390,520, we have to find the factors of both numbers and list the highest common factor.

The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

The HCF of 390,520 is 130.

Lets's calculate GCF of 390,520

Greatest Common Factor (GCF) of 390,520 By Common Division

2	390, 520
5	195, 260
13	39, 52
	3, 4

∴ So the GCF of the given numbers is 2 x 5 x 13 = 130

Greatest Common Factor of 390,520 By Matching Biggest Common Factor Method

Now, list down the factors of 390

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Now, list down the factors of 520

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 390,520 . The biggest common factor number is the GCF number.
So the greatest common factor 390,520 is 130.

Lets's calculate LCM of 926,970

Lowest Common Multiple of 926,970 using Common Division

2	926, 970
	463, 485

∴ So the LCM of the given numbers is 2 x 463 x 485 = 449110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 130/449110

Therefore, the GCF of Fractions 390/926,520/970 is 130/449110

Least Common Multiple of 926,970 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 926,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,970) = 2

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

GCF(926,970) x common factors =2 x 1 = 2

LCM(926,970) = ( 926 × 970 ) / 2

LCM(926,970) = 898220 / 2

LCM(926,970) = 449110

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FAQs on GCF of Fractions of 390/926, 520/970

1. What is the HCF of 390,520?

The HCF of 390,520 is 130

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 390/926, 520/970?

Answer: GCF of Numerators as per given numbers 390/926, 520/970 is

GCF of Numerators i.e. for 390,520 is 130

LCM of denominators i.e. for 926,970 is 449110.

Thus, GCF of Fractions is 130/449110.Finally, GCF of Fractions for 390/926, 520/970 is 130/449110.