Greatest Common Factor of 4900/978, 3208/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4900/978, 3208/509

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4900/978,3208/509

Given fractions are 4900/978,3208/509

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4900,3208

Greatest Common Factor of Numerators i.e. GCF of 4900,3208 is 4 .

LCM of Denominators means LCM of 978,509 as per the given fractions.

LCM of 978,509 is 497802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4900,3208

GCF of Fractions 4900/978,3208/509 is 4/497802

2 4900, 3208
2 2450, 1604
1225, 802

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4900,3208 By Matching Biggest Common Factor Method

Greatest Common Factor of 4900,3208 By Matching Biggest Common Factor Method

Factors of 4900

List of positive integer factors of 4900 that divides 4900 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900

Factors of 3208

List of positive integer factors of 3208 that divides 3208 without a remainder.

1,2,4,8,401,802,1604,3208

Greatest Common Factor

We found the factors 4900,3208 . The biggest common factor number is the GCF number.
So the greatest common factor 4900,3208 is 4.

Lets's calculate LCM of 978,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 497802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/497802

Therefore, the GCF of Fractions 4900/978,3208/509 is 4/497802

Least Common Multiple of 978,509 with GCF Formula

Least Common Multiple of 978,509 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 978,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,509) = 1

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

GCF(978,509) x common factors =1 x 1 = 1

LCM(978,509) = ( 978 × 509 ) / 1

LCM(978,509) = 497802 / 1

LCM(978,509) = 497802


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4900/978, 3208/509

1. 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.

2. What is the GCF of Fractions for 4900/978, 3208/509?

Answer: GCF of Numerators as per given numbers 4900/978, 3208/509 is

GCF of Numerators i.e. for 4900,3208 is 4

LCM of denominators i.e. for 978,509 is 497802.

Thus, GCF of Fractions is 4/497802.Finally, GCF of Fractions for 4900/978, 3208/509 is 4/497802.