GCF of 2528/123, 7590/351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2528/123, 7590/351 i.e 2/14391 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2528/123, 7590/351.
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 2528/123,7590/351?
Given fractions are 2528/123,7590/351
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 2528/123,7590/351, numerators are 2528,7590
Denominators are 123,351
The GCF of 2528,7590 is 2 .
LCM of 123,351 is 14391.
The greatest common factor of 2528/123,7590/351 = [GCF of 2528,7590]/[LCM of 123,351]= 2/14391
Therefore, the GCF of 2528/123,7590/351 is 2/14391.
To find the highest common factor of 2528,7590, we have to find the factors of both numbers and list the highest common factor.
The factors of 2528 are 1, 2, 4, 8, 16, 32, 79, 158, 316, 632, 1264, 2528
The factors of 7590 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590
The HCF of 2528,7590 is 2.
Lets's calculate GCF of 2528,7590
| 2 | 2528, 7590 |
| 1264, 3795 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2528,7590 By Matching Biggest Common Factor Method
Now, list down the factors of 2528
:1,2,4,8,16,32,79,158,316,632,1264,2528
Now, list down the factors of 7590
:1,2,3,5,6,10,11,15,22,23,30,33,46,55,66,69,110,115,138,165,230,253,330,345,506,690,759,1265,1518,2530,3795,7590
Greatest Common Factor
We found the factors 2528,7590 . The biggest common factor number is the GCF number.
So the greatest common factor 2528,7590 is 2.
Lets's calculate LCM of 123,351
| 3 | 123, 351 |
| 41, 117 |
∴ So the LCM of the given numbers is 3 x 41 x 117 = 14391
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14391
Therefore, the GCF of Fractions 2528/123,7590/351 is 2/14391
Least Common Multiple of 123,351 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 123,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,351) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,351) x common factors =3 x 1 = 3
LCM(123,351) = ( 123 × 351 ) / 3
LCM(123,351) = 43173 / 3
LCM(123,351) = 14391
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FAQs on GCF of Fractions of 2528/123, 7590/351
1. What is the HCF of 2528,7590?
The HCF of 2528,7590 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 2528/123, 7590/351?
Answer: GCF of Numerators as per given numbers 2528/123, 7590/351 is
GCF of Numerators i.e. for 2528,7590 is 2
LCM of denominators i.e. for 123,351 is 14391.
Thus, GCF of Fractions is 2/14391.Finally, GCF of Fractions for 2528/123, 7590/351 is 2/14391.