GCF of 5652/847, 8208/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5652/847, 8208/932 i.e 36/789404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5652/847, 8208/932.
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 5652/847,8208/932?
Given fractions are 5652/847,8208/932
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 5652/847,8208/932, numerators are 5652,8208
Denominators are 847,932
The GCF of 5652,8208 is 36 .
LCM of 847,932 is 789404.
The greatest common factor of 5652/847,8208/932 = [GCF of 5652,8208]/[LCM of 847,932]= 36/789404
Therefore, the GCF of 5652/847,8208/932 is 36/789404.
To find the highest common factor of 5652,8208, 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 8208 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208
The HCF of 5652,8208 is 36.
Lets's calculate GCF of 5652,8208
| 2 | 5652, 8208 |
| 2 | 2826, 4104 |
| 3 | 1413, 2052 |
| 3 | 471, 684 |
| 157, 228 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 5652,8208 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 8208
:1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208
Greatest Common Factor
We found the factors 5652,8208 . The biggest common factor number is the GCF number.
So the greatest common factor 5652,8208 is 36.
Lets's calculate LCM of 847,932
Given numbers has no common factors except 1. So, there LCM is their product i.e 789404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/789404
Therefore, the GCF of Fractions 5652/847,8208/932 is 36/789404
Least Common Multiple of 847,932 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 847,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,932) x common factors =1 x 1 = 1
LCM(847,932) = ( 847 × 932 ) / 1
LCM(847,932) = 789404 / 1
LCM(847,932) = 789404
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FAQs on GCF of Fractions of 5652/847, 8208/932
1. What is the HCF of 5652,8208?
The HCF of 5652,8208 is 36
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 5652/847, 8208/932?
Answer: GCF of Numerators as per given numbers 5652/847, 8208/932 is
GCF of Numerators i.e. for 5652,8208 is 36
LCM of denominators i.e. for 847,932 is 789404.
Thus, GCF of Fractions is 36/789404.Finally, GCF of Fractions for 5652/847, 8208/932 is 36/789404.