GCF of 2599/152, 2793/970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2599/152, 2793/970 i.e 1/73720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2599/152, 2793/970.
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 2599/152,2793/970?
Given fractions are 2599/152,2793/970
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 2599/152,2793/970, numerators are 2599,2793
Denominators are 152,970
The GCF of 2599,2793 is 1 .
LCM of 152,970 is 73720.
The greatest common factor of 2599/152,2793/970 = [GCF of 2599,2793]/[LCM of 152,970]= 1/73720
Therefore, the GCF of 2599/152,2793/970 is 1/73720.
To find the highest common factor of 2599,2793, we have to find the factors of both numbers and list the highest common factor.
The factors of 2599 are 1, 23, 113, 2599
The factors of 2793 are 1, 3, 7, 19, 21, 49, 57, 133, 147, 399, 931, 2793
The HCF of 2599,2793 is 1.
Lets's calculate GCF of 2599,2793
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2599,2793 By Matching Biggest Common Factor Method
Now, list down the factors of 2599
:1,23,113,2599
Now, list down the factors of 2793
:1,3,7,19,21,49,57,133,147,399,931,2793
Greatest Common Factor
We found the factors 2599,2793 . The biggest common factor number is the GCF number.
So the greatest common factor 2599,2793 is 1.
Lets's calculate LCM of 152,970
| 2 | 152, 970 |
| 76, 485 |
∴ So the LCM of the given numbers is 2 x 76 x 485 = 73720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73720
Therefore, the GCF of Fractions 2599/152,2793/970 is 1/73720
Least Common Multiple of 152,970 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 152,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(152,970) x common factors =2 x 1 = 2
LCM(152,970) = ( 152 × 970 ) / 2
LCM(152,970) = 147440 / 2
LCM(152,970) = 73720
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FAQs on GCF of Fractions of 2599/152, 2793/970
1. What is the HCF of 2599,2793?
The HCF of 2599,2793 is 1
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 2599/152, 2793/970?
Answer: GCF of Numerators as per given numbers 2599/152, 2793/970 is
GCF of Numerators i.e. for 2599,2793 is 1
LCM of denominators i.e. for 152,970 is 73720.
Thus, GCF of Fractions is 1/73720.Finally, GCF of Fractions for 2599/152, 2793/970 is 1/73720.