GCF of 5931/435, 4428/8647
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5931/435, 4428/8647 i.e 9/3761445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5931/435, 4428/8647.
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 5931/435,4428/8647?
Given fractions are 5931/435,4428/8647
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 5931/435,4428/8647, numerators are 5931,4428
Denominators are 435,8647
The GCF of 5931,4428 is 9 .
LCM of 435,8647 is 3761445.
The greatest common factor of 5931/435,4428/8647 = [GCF of 5931,4428]/[LCM of 435,8647]= 9/3761445
Therefore, the GCF of 5931/435,4428/8647 is 9/3761445.
To find the highest common factor of 5931,4428, we have to find the factors of both numbers and list the highest common factor.
The factors of 5931 are 1, 3, 9, 659, 1977, 5931
The factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428
The HCF of 5931,4428 is 9.
Lets's calculate GCF of 5931,4428
| 3 | 5931, 4428 |
| 3 | 1977, 1476 |
| 659, 492 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5931,4428 By Matching Biggest Common Factor Method
Now, list down the factors of 5931
:1,3,9,659,1977,5931
Now, list down the factors of 4428
:1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428
Greatest Common Factor
We found the factors 5931,4428 . The biggest common factor number is the GCF number.
So the greatest common factor 5931,4428 is 9.
Lets's calculate LCM of 435,8647
Given numbers has no common factors except 1. So, there LCM is their product i.e 3761445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3761445
Therefore, the GCF of Fractions 5931/435,4428/8647 is 9/3761445
Least Common Multiple of 435,8647 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 435,8647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,8647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(435,8647) x common factors =1 x 1 = 1
LCM(435,8647) = ( 435 × 8647 ) / 1
LCM(435,8647) = 3761445 / 1
LCM(435,8647) = 3761445
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FAQs on GCF of Fractions of 5931/435, 4428/8647
1. What is the HCF of 5931,4428?
The HCF of 5931,4428 is 9
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 5931/435, 4428/8647?
Answer: GCF of Numerators as per given numbers 5931/435, 4428/8647 is
GCF of Numerators i.e. for 5931,4428 is 9
LCM of denominators i.e. for 435,8647 is 3761445.
Thus, GCF of Fractions is 9/3761445.Finally, GCF of Fractions for 5931/435, 4428/8647 is 9/3761445.