GCF of 9932/902, 3586/9572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9932/902, 3586/9572 i.e 2/4316972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9932/902, 3586/9572.
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 9932/902,3586/9572?
Given fractions are 9932/902,3586/9572
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 9932/902,3586/9572, numerators are 9932,3586
Denominators are 902,9572
The GCF of 9932,3586 is 2 .
LCM of 902,9572 is 4316972.
The greatest common factor of 9932/902,3586/9572 = [GCF of 9932,3586]/[LCM of 902,9572]= 2/4316972
Therefore, the GCF of 9932/902,3586/9572 is 2/4316972.
To find the highest common factor of 9932,3586, we have to find the factors of both numbers and list the highest common factor.
The factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932
The factors of 3586 are 1, 2, 11, 22, 163, 326, 1793, 3586
The HCF of 9932,3586 is 2.
Lets's calculate GCF of 9932,3586
| 2 | 9932, 3586 |
| 4966, 1793 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9932,3586 By Matching Biggest Common Factor Method
Now, list down the factors of 9932
:1,2,4,13,26,52,191,382,764,2483,4966,9932
Now, list down the factors of 3586
:1,2,11,22,163,326,1793,3586
Greatest Common Factor
We found the factors 9932,3586 . The biggest common factor number is the GCF number.
So the greatest common factor 9932,3586 is 2.
Lets's calculate LCM of 902,9572
| 2 | 902, 9572 |
| 451, 4786 |
∴ So the LCM of the given numbers is 2 x 451 x 4786 = 4316972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4316972
Therefore, the GCF of Fractions 9932/902,3586/9572 is 2/4316972
Least Common Multiple of 902,9572 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 902,9572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,9572) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,9572) x common factors =2 x 1 = 2
LCM(902,9572) = ( 902 × 9572 ) / 2
LCM(902,9572) = 8633944 / 2
LCM(902,9572) = 4316972
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FAQs on GCF of Fractions of 9932/902, 3586/9572
1. What is the HCF of 9932,3586?
The HCF of 9932,3586 is 2
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 9932/902, 3586/9572?
Answer: GCF of Numerators as per given numbers 9932/902, 3586/9572 is
GCF of Numerators i.e. for 9932,3586 is 2
LCM of denominators i.e. for 902,9572 is 4316972.
Thus, GCF of Fractions is 2/4316972.Finally, GCF of Fractions for 9932/902, 3586/9572 is 2/4316972.