GCF of 4536/910, 2128/7895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4536/910, 2128/7895 i.e 56/1436890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4536/910, 2128/7895.
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 4536/910,2128/7895?
Given fractions are 4536/910,2128/7895
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 4536/910,2128/7895, numerators are 4536,2128
Denominators are 910,7895
The GCF of 4536,2128 is 56 .
LCM of 910,7895 is 1436890.
The greatest common factor of 4536/910,2128/7895 = [GCF of 4536,2128]/[LCM of 910,7895]= 56/1436890
Therefore, the GCF of 4536/910,2128/7895 is 56/1436890.
To find the highest common factor of 4536,2128, we have to find the factors of both numbers and list the highest common factor.
The factors of 4536 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536
The factors of 2128 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 56, 76, 112, 133, 152, 266, 304, 532, 1064, 2128
The HCF of 4536,2128 is 56.
Lets's calculate GCF of 4536,2128
| 2 | 4536, 2128 |
| 2 | 2268, 1064 |
| 2 | 1134, 532 |
| 7 | 567, 266 |
| 81, 38 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 4536,2128 By Matching Biggest Common Factor Method
Now, list down the factors of 4536
:1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,81,84,108,126,162,168,189,216,252,324,378,504,567,648,756,1134,1512,2268,4536
Now, list down the factors of 2128
:1,2,4,7,8,14,16,19,28,38,56,76,112,133,152,266,304,532,1064,2128
Greatest Common Factor
We found the factors 4536,2128 . The biggest common factor number is the GCF number.
So the greatest common factor 4536,2128 is 56.
Lets's calculate LCM of 910,7895
| 5 | 910, 7895 |
| 182, 1579 |
∴ So the LCM of the given numbers is 5 x 182 x 1579 = 1436890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/1436890
Therefore, the GCF of Fractions 4536/910,2128/7895 is 56/1436890
Least Common Multiple of 910,7895 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 910,7895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,7895) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(910,7895) x common factors =5 x 1 = 5
LCM(910,7895) = ( 910 × 7895 ) / 5
LCM(910,7895) = 7184450 / 5
LCM(910,7895) = 1436890
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FAQs on GCF of Fractions of 4536/910, 2128/7895
1. What is the HCF of 4536,2128?
The HCF of 4536,2128 is 56
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 4536/910, 2128/7895?
Answer: GCF of Numerators as per given numbers 4536/910, 2128/7895 is
GCF of Numerators i.e. for 4536,2128 is 56
LCM of denominators i.e. for 910,7895 is 1436890.
Thus, GCF of Fractions is 56/1436890.Finally, GCF of Fractions for 4536/910, 2128/7895 is 56/1436890.