GCF of 9632/368, 9204/6983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9632/368, 9204/6983 i.e 4/2569744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9632/368, 9204/6983.
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 9632/368,9204/6983?
Given fractions are 9632/368,9204/6983
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 9632/368,9204/6983, numerators are 9632,9204
Denominators are 368,6983
The GCF of 9632,9204 is 4 .
LCM of 368,6983 is 2569744.
The greatest common factor of 9632/368,9204/6983 = [GCF of 9632,9204]/[LCM of 368,6983]= 4/2569744
Therefore, the GCF of 9632/368,9204/6983 is 4/2569744.
To find the highest common factor of 9632,9204, we have to find the factors of both numbers and list the highest common factor.
The factors of 9632 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816, 9632
The factors of 9204 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204
The HCF of 9632,9204 is 4.
Lets's calculate GCF of 9632,9204
| 2 | 9632, 9204 |
| 2 | 4816, 4602 |
| 2408, 2301 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9632,9204 By Matching Biggest Common Factor Method
Now, list down the factors of 9632
:1,2,4,7,8,14,16,28,32,43,56,86,112,172,224,301,344,602,688,1204,1376,2408,4816,9632
Now, list down the factors of 9204
:1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204
Greatest Common Factor
We found the factors 9632,9204 . The biggest common factor number is the GCF number.
So the greatest common factor 9632,9204 is 4.
Lets's calculate LCM of 368,6983
Given numbers has no common factors except 1. So, there LCM is their product i.e 2569744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2569744
Therefore, the GCF of Fractions 9632/368,9204/6983 is 4/2569744
Least Common Multiple of 368,6983 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 368,6983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,6983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,6983) x common factors =1 x 1 = 1
LCM(368,6983) = ( 368 × 6983 ) / 1
LCM(368,6983) = 2569744 / 1
LCM(368,6983) = 2569744
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FAQs on GCF of Fractions of 9632/368, 9204/6983
1. What is the HCF of 9632,9204?
The HCF of 9632,9204 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 9632/368, 9204/6983?
Answer: GCF of Numerators as per given numbers 9632/368, 9204/6983 is
GCF of Numerators i.e. for 9632,9204 is 4
LCM of denominators i.e. for 368,6983 is 2569744.
Thus, GCF of Fractions is 4/2569744.Finally, GCF of Fractions for 9632/368, 9204/6983 is 4/2569744.