GCF of 7072/432, 9664/1817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7072/432, 9664/1817 i.e 32/784944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7072/432, 9664/1817.
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 7072/432,9664/1817?
Given fractions are 7072/432,9664/1817
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 7072/432,9664/1817, numerators are 7072,9664
Denominators are 432,1817
The GCF of 7072,9664 is 32 .
LCM of 432,1817 is 784944.
The greatest common factor of 7072/432,9664/1817 = [GCF of 7072,9664]/[LCM of 432,1817]= 32/784944
Therefore, the GCF of 7072/432,9664/1817 is 32/784944.
To find the highest common factor of 7072,9664, we have to find the factors of both numbers and list the highest common factor.
The factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072
The factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664
The HCF of 7072,9664 is 32.
Lets's calculate GCF of 7072,9664
| 2 | 7072, 9664 |
| 2 | 3536, 4832 |
| 2 | 1768, 2416 |
| 2 | 884, 1208 |
| 2 | 442, 604 |
| 221, 302 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 7072,9664 By Matching Biggest Common Factor Method
Now, list down the factors of 7072
:1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072
Now, list down the factors of 9664
:1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664
Greatest Common Factor
We found the factors 7072,9664 . The biggest common factor number is the GCF number.
So the greatest common factor 7072,9664 is 32.
Lets's calculate LCM of 432,1817
Given numbers has no common factors except 1. So, there LCM is their product i.e 784944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/784944
Therefore, the GCF of Fractions 7072/432,9664/1817 is 32/784944
Least Common Multiple of 432,1817 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 432,1817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,1817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(432,1817) x common factors =1 x 1 = 1
LCM(432,1817) = ( 432 × 1817 ) / 1
LCM(432,1817) = 784944 / 1
LCM(432,1817) = 784944
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FAQs on GCF of Fractions of 7072/432, 9664/1817
1. What is the HCF of 7072,9664?
The HCF of 7072,9664 is 32
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 7072/432, 9664/1817?
Answer: GCF of Numerators as per given numbers 7072/432, 9664/1817 is
GCF of Numerators i.e. for 7072,9664 is 32
LCM of denominators i.e. for 432,1817 is 784944.
Thus, GCF of Fractions is 32/784944.Finally, GCF of Fractions for 7072/432, 9664/1817 is 32/784944.