GCF of 2964/275, 7436/1825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2964/275, 7436/1825 i.e 52/20075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2964/275, 7436/1825.
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 2964/275,7436/1825?
Given fractions are 2964/275,7436/1825
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 2964/275,7436/1825, numerators are 2964,7436
Denominators are 275,1825
The GCF of 2964,7436 is 52 .
LCM of 275,1825 is 20075.
The greatest common factor of 2964/275,7436/1825 = [GCF of 2964,7436]/[LCM of 275,1825]= 52/20075
Therefore, the GCF of 2964/275,7436/1825 is 52/20075.
To find the highest common factor of 2964,7436, we have to find the factors of both numbers and list the highest common factor.
The factors of 2964 are 1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482, 2964
The factors of 7436 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 169, 286, 338, 572, 676, 1859, 3718, 7436
The HCF of 2964,7436 is 52.
Lets's calculate GCF of 2964,7436
| 2 | 2964, 7436 |
| 2 | 1482, 3718 |
| 13 | 741, 1859 |
| 57, 143 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Greatest Common Factor of 2964,7436 By Matching Biggest Common Factor Method
Now, list down the factors of 2964
:1,2,3,4,6,12,13,19,26,38,39,52,57,76,78,114,156,228,247,494,741,988,1482,2964
Now, list down the factors of 7436
:1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436
Greatest Common Factor
We found the factors 2964,7436 . The biggest common factor number is the GCF number.
So the greatest common factor 2964,7436 is 52.
Lets's calculate LCM of 275,1825
| 5 | 275, 1825 |
| 5 | 55, 365 |
| 11, 73 |
∴ So the LCM of the given numbers is 5 x 5 x 11 x 73 = 20075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/20075
Therefore, the GCF of Fractions 2964/275,7436/1825 is 52/20075
Least Common Multiple of 275,1825 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 275,1825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,1825) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(275,1825) x common factors =25 x 1 = 25
LCM(275,1825) = ( 275 × 1825 ) / 25
LCM(275,1825) = 501875 / 25
LCM(275,1825) = 20075
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FAQs on GCF of Fractions of 2964/275, 7436/1825
1. What is the HCF of 2964,7436?
The HCF of 2964,7436 is 52
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 2964/275, 7436/1825?
Answer: GCF of Numerators as per given numbers 2964/275, 7436/1825 is
GCF of Numerators i.e. for 2964,7436 is 52
LCM of denominators i.e. for 275,1825 is 20075.
Thus, GCF of Fractions is 52/20075.Finally, GCF of Fractions for 2964/275, 7436/1825 is 52/20075.