GCF of 2508/101, 1329/755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2508/101, 1329/755 i.e 3/76255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2508/101, 1329/755.
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 2508/101,1329/755?
Given fractions are 2508/101,1329/755
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 2508/101,1329/755, numerators are 2508,1329
Denominators are 101,755
The GCF of 2508,1329 is 3 .
LCM of 101,755 is 76255.
The greatest common factor of 2508/101,1329/755 = [GCF of 2508,1329]/[LCM of 101,755]= 3/76255
Therefore, the GCF of 2508/101,1329/755 is 3/76255.
To find the highest common factor of 2508,1329, we have to find the factors of both numbers and list the highest common factor.
The factors of 2508 are 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508
The factors of 1329 are 1, 3, 443, 1329
The HCF of 2508,1329 is 3.
Lets's calculate GCF of 2508,1329
| 3 | 2508, 1329 |
| 836, 443 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2508,1329 By Matching Biggest Common Factor Method
Now, list down the factors of 2508
:1,2,3,4,6,11,12,19,22,33,38,44,57,66,76,114,132,209,228,418,627,836,1254,2508
Now, list down the factors of 1329
:1,3,443,1329
Greatest Common Factor
We found the factors 2508,1329 . The biggest common factor number is the GCF number.
So the greatest common factor 2508,1329 is 3.
Lets's calculate LCM of 101,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 76255
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/76255
Therefore, the GCF of Fractions 2508/101,1329/755 is 3/76255
Least Common Multiple of 101,755 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 101,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,755) x common factors =1 x 1 = 1
LCM(101,755) = ( 101 × 755 ) / 1
LCM(101,755) = 76255 / 1
LCM(101,755) = 76255
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FAQs on GCF of Fractions of 2508/101, 1329/755
1. What is the HCF of 2508,1329?
The HCF of 2508,1329 is 3
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 2508/101, 1329/755?
Answer: GCF of Numerators as per given numbers 2508/101, 1329/755 is
GCF of Numerators i.e. for 2508,1329 is 3
LCM of denominators i.e. for 101,755 is 76255.
Thus, GCF of Fractions is 3/76255.Finally, GCF of Fractions for 2508/101, 1329/755 is 3/76255.