GCF of 4532/715, 9828/881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4532/715, 9828/881 i.e 4/629915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4532/715, 9828/881.
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 4532/715,9828/881?
Given fractions are 4532/715,9828/881
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 4532/715,9828/881, numerators are 4532,9828
Denominators are 715,881
The GCF of 4532,9828 is 4 .
LCM of 715,881 is 629915.
The greatest common factor of 4532/715,9828/881 = [GCF of 4532,9828]/[LCM of 715,881]= 4/629915
Therefore, the GCF of 4532/715,9828/881 is 4/629915.
To find the highest common factor of 4532,9828, we have to find the factors of both numbers and list the highest common factor.
The factors of 4532 are 1, 2, 4, 11, 22, 44, 103, 206, 412, 1133, 2266, 4532
The factors of 9828 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828
The HCF of 4532,9828 is 4.
Lets's calculate GCF of 4532,9828
| 2 | 4532, 9828 |
| 2 | 2266, 4914 |
| 1133, 2457 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4532,9828 By Matching Biggest Common Factor Method
Now, list down the factors of 4532
:1,2,4,11,22,44,103,206,412,1133,2266,4532
Now, list down the factors of 9828
:1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828
Greatest Common Factor
We found the factors 4532,9828 . The biggest common factor number is the GCF number.
So the greatest common factor 4532,9828 is 4.
Lets's calculate LCM of 715,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 629915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/629915
Therefore, the GCF of Fractions 4532/715,9828/881 is 4/629915
Least Common Multiple of 715,881 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 715,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,881) x common factors =1 x 1 = 1
LCM(715,881) = ( 715 × 881 ) / 1
LCM(715,881) = 629915 / 1
LCM(715,881) = 629915
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FAQs on GCF of Fractions of 4532/715, 9828/881
1. What is the HCF of 4532,9828?
The HCF of 4532,9828 is 4
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 4532/715, 9828/881?
Answer: GCF of Numerators as per given numbers 4532/715, 9828/881 is
GCF of Numerators i.e. for 4532,9828 is 4
LCM of denominators i.e. for 715,881 is 629915.
Thus, GCF of Fractions is 4/629915.Finally, GCF of Fractions for 4532/715, 9828/881 is 4/629915.