GCF of 876/740, 3264/456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 876/740, 3264/456 i.e 12/84360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/740, 3264/456.
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 876/740,3264/456?
Given fractions are 876/740,3264/456
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 876/740,3264/456, numerators are 876,3264
Denominators are 740,456
The GCF of 876,3264 is 12 .
LCM of 740,456 is 84360.
The greatest common factor of 876/740,3264/456 = [GCF of 876,3264]/[LCM of 740,456]= 12/84360
Therefore, the GCF of 876/740,3264/456 is 12/84360.
To find the highest common factor of 876,3264, we have to find the factors of both numbers and list the highest common factor.
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The factors of 3264 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264
The HCF of 876,3264 is 12.
Lets's calculate GCF of 876,3264
| 2 | 876, 3264 |
| 2 | 438, 1632 |
| 3 | 219, 816 |
| 73, 272 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 876,3264 By Matching Biggest Common Factor Method
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Now, list down the factors of 3264
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,136,192,204,272,408,544,816,1088,1632,3264
Greatest Common Factor
We found the factors 876,3264 . The biggest common factor number is the GCF number.
So the greatest common factor 876,3264 is 12.
Lets's calculate LCM of 740,456
| 2 | 740, 456 |
| 2 | 370, 228 |
| 185, 114 |
∴ So the LCM of the given numbers is 2 x 2 x 185 x 114 = 84360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/84360
Therefore, the GCF of Fractions 876/740,3264/456 is 12/84360
Least Common Multiple of 740,456 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 740,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,456) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(740,456) x common factors =4 x 1 = 4
LCM(740,456) = ( 740 × 456 ) / 4
LCM(740,456) = 337440 / 4
LCM(740,456) = 84360
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FAQs on GCF of Fractions of 876/740, 3264/456
1. What is the HCF of 876,3264?
The HCF of 876,3264 is 12
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 876/740, 3264/456?
Answer: GCF of Numerators as per given numbers 876/740, 3264/456 is
GCF of Numerators i.e. for 876,3264 is 12
LCM of denominators i.e. for 740,456 is 84360.
Thus, GCF of Fractions is 12/84360.Finally, GCF of Fractions for 876/740, 3264/456 is 12/84360.