How to Find GCF of 5207/480, 4615/1596?

GCF of 5207/480, 4615/1596

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 5207/480, 4615/1596 i.e 1/63840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5207/480, 4615/1596.

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 5207/480,4615/1596?

Given fractions are 5207/480,4615/1596

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 5207/480,4615/1596, numerators are 5207,4615

Denominators are 480,1596

The GCF of 5207,4615 is 1 .

LCM of 480,1596 is 63840.

The greatest common factor of 5207/480,4615/1596 = [GCF of 5207,4615]/[LCM of 480,1596]= 1/63840

Therefore, the GCF of 5207/480,4615/1596 is 1/63840.

Greatest Common Factor of 5207,4615

To find the highest common factor of 5207,4615, we have to find the factors of both numbers and list the highest common factor.

The factors of 5207 are 1, 41, 127, 5207

The factors of 4615 are 1, 5, 13, 65, 71, 355, 923, 4615

The HCF of 5207,4615 is 1.

Lets's calculate GCF of 5207,4615

Greatest Common Factor (GCF) of 5207,4615 By Common Division

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

Greatest Common Factor of 5207,4615 By Matching Biggest Common Factor Method

Now, list down the factors of 5207

1,41,127,5207

Now, list down the factors of 4615

1,5,13,65,71,355,923,4615

Greatest Common Factor

We found the factors 5207,4615 . The biggest common factor number is the GCF number.
So the greatest common factor 5207,4615 is 1.

Lets's calculate LCM of 480,1596

Lowest Common Multiple of 480,1596 using Common Division

2	480, 1596
2	240, 798
3	120, 399
	40, 133

∴ So the LCM of the given numbers is 2 x 2 x 3 x 40 x 133 = 63840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63840

Therefore, the GCF of Fractions 5207/480,4615/1596 is 1/63840

Least Common Multiple of 480,1596 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 480,1596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,1596) = 12

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

GCF(480,1596) x common factors =12 x 1 = 12

LCM(480,1596) = ( 480 × 1596 ) / 12

LCM(480,1596) = 766080 / 12

LCM(480,1596) = 63840

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5207/480, 4615/1596

1. What is the HCF of 5207,4615?

The HCF of 5207,4615 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 5207/480, 4615/1596?

Answer: GCF of Numerators as per given numbers 5207/480, 4615/1596 is

GCF of Numerators i.e. for 5207,4615 is 1

LCM of denominators i.e. for 480,1596 is 63840.

Thus, GCF of Fractions is 1/63840.Finally, GCF of Fractions for 5207/480, 4615/1596 is 1/63840.