GCF of 539/768, 637/620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 539/768, 637/620 i.e 49/119040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 539/768, 637/620.
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 539/768,637/620?
Given fractions are 539/768,637/620
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 539/768,637/620, numerators are 539,637
Denominators are 768,620
The GCF of 539,637 is 49 .
LCM of 768,620 is 119040.
The greatest common factor of 539/768,637/620 = [GCF of 539,637]/[LCM of 768,620]= 49/119040
Therefore, the GCF of 539/768,637/620 is 49/119040.
To find the highest common factor of 539,637, we have to find the factors of both numbers and list the highest common factor.
The factors of 539 are 1, 7, 11, 49, 77, 539
The factors of 637 are 1, 7, 13, 49, 91, 637
The HCF of 539,637 is 49.
Lets's calculate GCF of 539,637
| 7 | 539, 637 |
| 7 | 77, 91 |
| 11, 13 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 539,637 By Matching Biggest Common Factor Method
Now, list down the factors of 539
:1,7,11,49,77,539
Now, list down the factors of 637
:1,7,13,49,91,637
Greatest Common Factor
We found the factors 539,637 . The biggest common factor number is the GCF number.
So the greatest common factor 539,637 is 49.
Lets's calculate LCM of 768,620
| 2 | 768, 620 |
| 2 | 384, 310 |
| 192, 155 |
∴ So the LCM of the given numbers is 2 x 2 x 192 x 155 = 119040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/119040
Therefore, the GCF of Fractions 539/768,637/620 is 49/119040
Least Common Multiple of 768,620 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 768,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,620) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(768,620) x common factors =4 x 1 = 4
LCM(768,620) = ( 768 × 620 ) / 4
LCM(768,620) = 476160 / 4
LCM(768,620) = 119040
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FAQs on GCF of Fractions of 539/768, 637/620
1. What is the HCF of 539,637?
The HCF of 539,637 is 49
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 539/768, 637/620?
Answer: GCF of Numerators as per given numbers 539/768, 637/620 is
GCF of Numerators i.e. for 539,637 is 49
LCM of denominators i.e. for 768,620 is 119040.
Thus, GCF of Fractions is 49/119040.Finally, GCF of Fractions for 539/768, 637/620 is 49/119040.