GCF of 9632/954, 1720/598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9632/954, 1720/598 i.e 344/285246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9632/954, 1720/598.
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 9632/954,1720/598?
Given fractions are 9632/954,1720/598
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 9632/954,1720/598, numerators are 9632,1720
Denominators are 954,598
The GCF of 9632,1720 is 344 .
LCM of 954,598 is 285246.
The greatest common factor of 9632/954,1720/598 = [GCF of 9632,1720]/[LCM of 954,598]= 344/285246
Therefore, the GCF of 9632/954,1720/598 is 344/285246.
To find the highest common factor of 9632,1720, 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 1720 are 1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720
The HCF of 9632,1720 is 344.
Lets's calculate GCF of 9632,1720
| 2 | 9632, 1720 |
| 2 | 4816, 860 |
| 2 | 2408, 430 |
| 43 | 1204, 215 |
| 28, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 43 = 344
Greatest Common Factor of 9632,1720 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 1720
:1,2,4,5,8,10,20,40,43,86,172,215,344,430,860,1720
Greatest Common Factor
We found the factors 9632,1720 . The biggest common factor number is the GCF number.
So the greatest common factor 9632,1720 is 344.
Lets's calculate LCM of 954,598
| 2 | 954, 598 |
| 477, 299 |
∴ So the LCM of the given numbers is 2 x 477 x 299 = 285246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 344/285246
Therefore, the GCF of Fractions 9632/954,1720/598 is 344/285246
Least Common Multiple of 954,598 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 954,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(954,598) x common factors =2 x 1 = 2
LCM(954,598) = ( 954 × 598 ) / 2
LCM(954,598) = 570492 / 2
LCM(954,598) = 285246
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FAQs on GCF of Fractions of 9632/954, 1720/598
1. What is the HCF of 9632,1720?
The HCF of 9632,1720 is 344
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 9632/954, 1720/598?
Answer: GCF of Numerators as per given numbers 9632/954, 1720/598 is
GCF of Numerators i.e. for 9632,1720 is 344
LCM of denominators i.e. for 954,598 is 285246.
Thus, GCF of Fractions is 344/285246.Finally, GCF of Fractions for 9632/954, 1720/598 is 344/285246.