GCF of 760/28, 650/5194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 760/28, 650/5194 i.e 10/10388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/28, 650/5194.
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 760/28,650/5194?
Given fractions are 760/28,650/5194
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 760/28,650/5194, numerators are 760,650
Denominators are 28,5194
The GCF of 760,650 is 10 .
LCM of 28,5194 is 10388.
The greatest common factor of 760/28,650/5194 = [GCF of 760,650]/[LCM of 28,5194]= 10/10388
Therefore, the GCF of 760/28,650/5194 is 10/10388.
To find the highest common factor of 760,650, we have to find the factors of both numbers and list the highest common factor.
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
The HCF of 760,650 is 10.
Lets's calculate GCF of 760,650
| 2 | 760, 650 |
| 5 | 380, 325 |
| 76, 65 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 760,650 By Matching Biggest Common Factor Method
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Now, list down the factors of 650
:1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 760,650 . The biggest common factor number is the GCF number.
So the greatest common factor 760,650 is 10.
Lets's calculate LCM of 28,5194
| 2 | 28, 5194 |
| 7 | 14, 2597 |
| 2, 371 |
∴ So the LCM of the given numbers is 2 x 7 x 2 x 371 = 10388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/10388
Therefore, the GCF of Fractions 760/28,650/5194 is 10/10388
Least Common Multiple of 28,5194 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 28,5194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,5194) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(28,5194) x common factors =14 x 1 = 14
LCM(28,5194) = ( 28 × 5194 ) / 14
LCM(28,5194) = 145432 / 14
LCM(28,5194) = 10388
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 760/28, 650/5194
1. What is the HCF of 760,650?
The HCF of 760,650 is 10
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 760/28, 650/5194?
Answer: GCF of Numerators as per given numbers 760/28, 650/5194 is
GCF of Numerators i.e. for 760,650 is 10
LCM of denominators i.e. for 28,5194 is 10388.
Thus, GCF of Fractions is 10/10388.Finally, GCF of Fractions for 760/28, 650/5194 is 10/10388.