GCF of 790/548, 680/728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 790/548, 680/728 i.e 10/99736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/548, 680/728.
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 790/548,680/728?
Given fractions are 790/548,680/728
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 790/548,680/728, numerators are 790,680
Denominators are 548,728
The GCF of 790,680 is 10 .
LCM of 548,728 is 99736.
The greatest common factor of 790/548,680/728 = [GCF of 790,680]/[LCM of 548,728]= 10/99736
Therefore, the GCF of 790/548,680/728 is 10/99736.
To find the highest common factor of 790,680, we have to find the factors of both numbers and list the highest common factor.
The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790
The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
The HCF of 790,680 is 10.
Lets's calculate GCF of 790,680
| 2 | 790, 680 |
| 5 | 395, 340 |
| 79, 68 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 790,680 By Matching Biggest Common Factor Method
Now, list down the factors of 790
:1,2,5,10,79,158,395,790
Now, list down the factors of 680
:1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 790,680 . The biggest common factor number is the GCF number.
So the greatest common factor 790,680 is 10.
Lets's calculate LCM of 548,728
| 2 | 548, 728 |
| 2 | 274, 364 |
| 137, 182 |
∴ So the LCM of the given numbers is 2 x 2 x 137 x 182 = 99736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/99736
Therefore, the GCF of Fractions 790/548,680/728 is 10/99736
Least Common Multiple of 548,728 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 548,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,728) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(548,728) x common factors =4 x 1 = 4
LCM(548,728) = ( 548 × 728 ) / 4
LCM(548,728) = 398944 / 4
LCM(548,728) = 99736
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FAQs on GCF of Fractions of 790/548, 680/728
1. What is the HCF of 790,680?
The HCF of 790,680 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 790/548, 680/728?
Answer: GCF of Numerators as per given numbers 790/548, 680/728 is
GCF of Numerators i.e. for 790,680 is 10
LCM of denominators i.e. for 548,728 is 99736.
Thus, GCF of Fractions is 10/99736.Finally, GCF of Fractions for 790/548, 680/728 is 10/99736.