GCF of 793/80, 854/598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 793/80, 854/598 i.e 61/23920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 793/80, 854/598.
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 793/80,854/598?
Given fractions are 793/80,854/598
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 793/80,854/598, numerators are 793,854
Denominators are 80,598
The GCF of 793,854 is 61 .
LCM of 80,598 is 23920.
The greatest common factor of 793/80,854/598 = [GCF of 793,854]/[LCM of 80,598]= 61/23920
Therefore, the GCF of 793/80,854/598 is 61/23920.
To find the highest common factor of 793,854, we have to find the factors of both numbers and list the highest common factor.
The factors of 793 are 1, 13, 61, 793
The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854
The HCF of 793,854 is 61.
Lets's calculate GCF of 793,854
| 61 | 793, 854 |
| 13, 14 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 793,854 By Matching Biggest Common Factor Method
Now, list down the factors of 793
:1,13,61,793
Now, list down the factors of 854
:1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 793,854 . The biggest common factor number is the GCF number.
So the greatest common factor 793,854 is 61.
Lets's calculate LCM of 80,598
| 2 | 80, 598 |
| 40, 299 |
∴ So the LCM of the given numbers is 2 x 40 x 299 = 23920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/23920
Therefore, the GCF of Fractions 793/80,854/598 is 61/23920
Least Common Multiple of 80,598 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 80,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(80,598) x common factors =2 x 1 = 2
LCM(80,598) = ( 80 × 598 ) / 2
LCM(80,598) = 47840 / 2
LCM(80,598) = 23920
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FAQs on GCF of Fractions of 793/80, 854/598
1. What is the HCF of 793,854?
The HCF of 793,854 is 61
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 793/80, 854/598?
Answer: GCF of Numerators as per given numbers 793/80, 854/598 is
GCF of Numerators i.e. for 793,854 is 61
LCM of denominators i.e. for 80,598 is 23920.
Thus, GCF of Fractions is 61/23920.Finally, GCF of Fractions for 793/80, 854/598 is 61/23920.