Greatest Common Factor of 788/526, 550/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 788/526, 550/998

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 788/526,550/998

Given fractions are 788/526,550/998

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 788,550

Greatest Common Factor of Numerators i.e. GCF of 788,550 is 2 .

LCM of Denominators means LCM of 526,998 as per the given fractions.

LCM of 526,998 is 262474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 788,550

GCF of Fractions 788/526,550/998 is 2/262474

2 788, 550
394, 275

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

Greatest Common Factor of 788,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,550 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 788,550 . The biggest common factor number is the GCF number.
So the greatest common factor 788,550 is 2.

Lets's calculate LCM of 526,998

2 526, 998
263, 499

∴ So the LCM of the given numbers is 2 x 263 x 499 = 262474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/262474

Therefore, the GCF of Fractions 788/526,550/998 is 2/262474

Least Common Multiple of 526,998 with GCF Formula

Least Common Multiple of 526,998 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 526,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,998) = 2

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

GCF(526,998) x common factors =2 x 1 = 2

LCM(526,998) = ( 526 × 998 ) / 2

LCM(526,998) = 524948 / 2

LCM(526,998) = 262474


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 788/526, 550/998

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 788/526, 550/998?

Answer: GCF of Numerators as per given numbers 788/526, 550/998 is

GCF of Numerators i.e. for 788,550 is 2

LCM of denominators i.e. for 526,998 is 262474.

Thus, GCF of Fractions is 2/262474.Finally, GCF of Fractions for 788/526, 550/998 is 2/262474.