GCF of 760/619, 538/625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 760/619, 538/625 i.e 2/386875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/619, 538/625.
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 760/619,538/625?
Given fractions are 760/619,538/625
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 760/619,538/625, numerators are 760,538
Denominators are 619,625
The GCF of 760,538 is 2 .
LCM of 619,625 is 386875.
The greatest common factor of 760/619,538/625 = [GCF of 760,538]/[LCM of 619,625]= 2/386875
Therefore, the GCF of 760/619,538/625 is 2/386875.
To find the highest common factor of 760,538, 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 538 are 1, 2, 269, 538
The HCF of 760,538 is 2.
Lets's calculate GCF of 760,538
| 2 | 760, 538 |
| 380, 269 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 760,538 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 538
:1,2,269,538
Greatest Common Factor
We found the factors 760,538 . The biggest common factor number is the GCF number.
So the greatest common factor 760,538 is 2.
Lets's calculate LCM of 619,625
Given numbers has no common factors except 1. So, there LCM is their product i.e 386875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/386875
Therefore, the GCF of Fractions 760/619,538/625 is 2/386875
Least Common Multiple of 619,625 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 619,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,625) x common factors =1 x 1 = 1
LCM(619,625) = ( 619 × 625 ) / 1
LCM(619,625) = 386875 / 1
LCM(619,625) = 386875
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 760/619, 538/625
1. What is the HCF of 760,538?
The HCF of 760,538 is 2
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 760/619, 538/625?
Answer: GCF of Numerators as per given numbers 760/619, 538/625 is
GCF of Numerators i.e. for 760,538 is 2
LCM of denominators i.e. for 619,625 is 386875.
Thus, GCF of Fractions is 2/386875.Finally, GCF of Fractions for 760/619, 538/625 is 2/386875.