GCF of 2596/724, 7178/7380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2596/724, 7178/7380 i.e 2/1335780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2596/724, 7178/7380.
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 2596/724,7178/7380?
Given fractions are 2596/724,7178/7380
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 2596/724,7178/7380, numerators are 2596,7178
Denominators are 724,7380
The GCF of 2596,7178 is 2 .
LCM of 724,7380 is 1335780.
The greatest common factor of 2596/724,7178/7380 = [GCF of 2596,7178]/[LCM of 724,7380]= 2/1335780
Therefore, the GCF of 2596/724,7178/7380 is 2/1335780.
To find the highest common factor of 2596,7178, we have to find the factors of both numbers and list the highest common factor.
The factors of 2596 are 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298, 2596
The factors of 7178 are 1, 2, 37, 74, 97, 194, 3589, 7178
The HCF of 2596,7178 is 2.
Lets's calculate GCF of 2596,7178
| 2 | 2596, 7178 |
| 1298, 3589 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2596,7178 By Matching Biggest Common Factor Method
Now, list down the factors of 2596
:1,2,4,11,22,44,59,118,236,649,1298,2596
Now, list down the factors of 7178
:1,2,37,74,97,194,3589,7178
Greatest Common Factor
We found the factors 2596,7178 . The biggest common factor number is the GCF number.
So the greatest common factor 2596,7178 is 2.
Lets's calculate LCM of 724,7380
| 2 | 724, 7380 |
| 2 | 362, 3690 |
| 181, 1845 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 1845 = 1335780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1335780
Therefore, the GCF of Fractions 2596/724,7178/7380 is 2/1335780
Least Common Multiple of 724,7380 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 724,7380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,7380) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(724,7380) x common factors =4 x 1 = 4
LCM(724,7380) = ( 724 × 7380 ) / 4
LCM(724,7380) = 5343120 / 4
LCM(724,7380) = 1335780
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FAQs on GCF of Fractions of 2596/724, 7178/7380
1. What is the HCF of 2596,7178?
The HCF of 2596,7178 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 2596/724, 7178/7380?
Answer: GCF of Numerators as per given numbers 2596/724, 7178/7380 is
GCF of Numerators i.e. for 2596,7178 is 2
LCM of denominators i.e. for 724,7380 is 1335780.
Thus, GCF of Fractions is 2/1335780.Finally, GCF of Fractions for 2596/724, 7178/7380 is 2/1335780.