GCF of 627/612, 7752/902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 627/612, 7752/902 i.e 57/276012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 627/612, 7752/902.
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 627/612,7752/902?
Given fractions are 627/612,7752/902
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 627/612,7752/902, numerators are 627,7752
Denominators are 612,902
The GCF of 627,7752 is 57 .
LCM of 612,902 is 276012.
The greatest common factor of 627/612,7752/902 = [GCF of 627,7752]/[LCM of 612,902]= 57/276012
Therefore, the GCF of 627/612,7752/902 is 57/276012.
To find the highest common factor of 627,7752, we have to find the factors of both numbers and list the highest common factor.
The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627
The factors of 7752 are 1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752
The HCF of 627,7752 is 57.
Lets's calculate GCF of 627,7752
| 3 | 627, 7752 |
| 19 | 209, 2584 |
| 11, 136 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 627,7752 By Matching Biggest Common Factor Method
Now, list down the factors of 627
:1,3,11,19,33,57,209,627
Now, list down the factors of 7752
:1,2,3,4,6,8,12,17,19,24,34,38,51,57,68,76,102,114,136,152,204,228,323,408,456,646,969,1292,1938,2584,3876,7752
Greatest Common Factor
We found the factors 627,7752 . The biggest common factor number is the GCF number.
So the greatest common factor 627,7752 is 57.
Lets's calculate LCM of 612,902
| 2 | 612, 902 |
| 306, 451 |
∴ So the LCM of the given numbers is 2 x 306 x 451 = 276012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/276012
Therefore, the GCF of Fractions 627/612,7752/902 is 57/276012
Least Common Multiple of 612,902 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 612,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,902) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(612,902) x common factors =2 x 1 = 2
LCM(612,902) = ( 612 × 902 ) / 2
LCM(612,902) = 552024 / 2
LCM(612,902) = 276012
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FAQs on GCF of Fractions of 627/612, 7752/902
1. What is the HCF of 627,7752?
The HCF of 627,7752 is 57
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 627/612, 7752/902?
Answer: GCF of Numerators as per given numbers 627/612, 7752/902 is
GCF of Numerators i.e. for 627,7752 is 57
LCM of denominators i.e. for 612,902 is 276012.
Thus, GCF of Fractions is 57/276012.Finally, GCF of Fractions for 627/612, 7752/902 is 57/276012.