GCF of 5652/632, 5928/1944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5652/632, 5928/1944 i.e 12/153576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5652/632, 5928/1944.
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 5652/632,5928/1944?
Given fractions are 5652/632,5928/1944
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 5652/632,5928/1944, numerators are 5652,5928
Denominators are 632,1944
The GCF of 5652,5928 is 12 .
LCM of 632,1944 is 153576.
The greatest common factor of 5652/632,5928/1944 = [GCF of 5652,5928]/[LCM of 632,1944]= 12/153576
Therefore, the GCF of 5652/632,5928/1944 is 12/153576.
To find the highest common factor of 5652,5928, we have to find the factors of both numbers and list the highest common factor.
The factors of 5652 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826, 5652
The factors of 5928 are 1, 2, 3, 4, 6, 8, 12, 13, 19, 24, 26, 38, 39, 52, 57, 76, 78, 104, 114, 152, 156, 228, 247, 312, 456, 494, 741, 988, 1482, 1976, 2964, 5928
The HCF of 5652,5928 is 12.
Lets's calculate GCF of 5652,5928
| 2 | 5652, 5928 |
| 2 | 2826, 2964 |
| 3 | 1413, 1482 |
| 471, 494 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5652,5928 By Matching Biggest Common Factor Method
Now, list down the factors of 5652
:1,2,3,4,6,9,12,18,36,157,314,471,628,942,1413,1884,2826,5652
Now, list down the factors of 5928
:1,2,3,4,6,8,12,13,19,24,26,38,39,52,57,76,78,104,114,152,156,228,247,312,456,494,741,988,1482,1976,2964,5928
Greatest Common Factor
We found the factors 5652,5928 . The biggest common factor number is the GCF number.
So the greatest common factor 5652,5928 is 12.
Lets's calculate LCM of 632,1944
| 2 | 632, 1944 |
| 2 | 316, 972 |
| 2 | 158, 486 |
| 79, 243 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 79 x 243 = 153576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/153576
Therefore, the GCF of Fractions 5652/632,5928/1944 is 12/153576
Least Common Multiple of 632,1944 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 632,1944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,1944) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(632,1944) x common factors =8 x 1 = 8
LCM(632,1944) = ( 632 × 1944 ) / 8
LCM(632,1944) = 1228608 / 8
LCM(632,1944) = 153576
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FAQs on GCF of Fractions of 5652/632, 5928/1944
1. What is the HCF of 5652,5928?
The HCF of 5652,5928 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 5652/632, 5928/1944?
Answer: GCF of Numerators as per given numbers 5652/632, 5928/1944 is
GCF of Numerators i.e. for 5652,5928 is 12
LCM of denominators i.e. for 632,1944 is 153576.
Thus, GCF of Fractions is 12/153576.Finally, GCF of Fractions for 5652/632, 5928/1944 is 12/153576.