GCF of 9164/602, 5720/7708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9164/602, 5720/7708 i.e 4/2320108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9164/602, 5720/7708.
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 9164/602,5720/7708?
Given fractions are 9164/602,5720/7708
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 9164/602,5720/7708, numerators are 9164,5720
Denominators are 602,7708
The GCF of 9164,5720 is 4 .
LCM of 602,7708 is 2320108.
The greatest common factor of 9164/602,5720/7708 = [GCF of 9164,5720]/[LCM of 602,7708]= 4/2320108
Therefore, the GCF of 9164/602,5720/7708 is 4/2320108.
To find the highest common factor of 9164,5720, we have to find the factors of both numbers and list the highest common factor.
The factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164
The factors of 5720 are 1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 220, 260, 286, 440, 520, 572, 715, 1144, 1430, 2860, 5720
The HCF of 9164,5720 is 4.
Lets's calculate GCF of 9164,5720
| 2 | 9164, 5720 |
| 2 | 4582, 2860 |
| 2291, 1430 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9164,5720 By Matching Biggest Common Factor Method
Now, list down the factors of 9164
:1,2,4,29,58,79,116,158,316,2291,4582,9164
Now, list down the factors of 5720
:1,2,4,5,8,10,11,13,20,22,26,40,44,52,55,65,88,104,110,130,143,220,260,286,440,520,572,715,1144,1430,2860,5720
Greatest Common Factor
We found the factors 9164,5720 . The biggest common factor number is the GCF number.
So the greatest common factor 9164,5720 is 4.
Lets's calculate LCM of 602,7708
| 2 | 602, 7708 |
| 301, 3854 |
∴ So the LCM of the given numbers is 2 x 301 x 3854 = 2320108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2320108
Therefore, the GCF of Fractions 9164/602,5720/7708 is 4/2320108
Least Common Multiple of 602,7708 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 602,7708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,7708) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,7708) x common factors =2 x 1 = 2
LCM(602,7708) = ( 602 × 7708 ) / 2
LCM(602,7708) = 4640216 / 2
LCM(602,7708) = 2320108
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FAQs on GCF of Fractions of 9164/602, 5720/7708
1. What is the HCF of 9164,5720?
The HCF of 9164,5720 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 9164/602, 5720/7708?
Answer: GCF of Numerators as per given numbers 9164/602, 5720/7708 is
GCF of Numerators i.e. for 9164,5720 is 4
LCM of denominators i.e. for 602,7708 is 2320108.
Thus, GCF of Fractions is 4/2320108.Finally, GCF of Fractions for 9164/602, 5720/7708 is 4/2320108.