GCF of 7748/232, 8684/4158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7748/232, 8684/4158 i.e 52/482328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7748/232, 8684/4158.
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 7748/232,8684/4158?
Given fractions are 7748/232,8684/4158
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 7748/232,8684/4158, numerators are 7748,8684
Denominators are 232,4158
The GCF of 7748,8684 is 52 .
LCM of 232,4158 is 482328.
The greatest common factor of 7748/232,8684/4158 = [GCF of 7748,8684]/[LCM of 232,4158]= 52/482328
Therefore, the GCF of 7748/232,8684/4158 is 52/482328.
To find the highest common factor of 7748,8684, we have to find the factors of both numbers and list the highest common factor.
The factors of 7748 are 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748
The factors of 8684 are 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684
The HCF of 7748,8684 is 52.
Lets's calculate GCF of 7748,8684
| 2 | 7748, 8684 |
| 2 | 3874, 4342 |
| 13 | 1937, 2171 |
| 149, 167 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Greatest Common Factor of 7748,8684 By Matching Biggest Common Factor Method
Now, list down the factors of 7748
:1,2,4,13,26,52,149,298,596,1937,3874,7748
Now, list down the factors of 8684
:1,2,4,13,26,52,167,334,668,2171,4342,8684
Greatest Common Factor
We found the factors 7748,8684 . The biggest common factor number is the GCF number.
So the greatest common factor 7748,8684 is 52.
Lets's calculate LCM of 232,4158
| 2 | 232, 4158 |
| 116, 2079 |
∴ So the LCM of the given numbers is 2 x 116 x 2079 = 482328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/482328
Therefore, the GCF of Fractions 7748/232,8684/4158 is 52/482328
Least Common Multiple of 232,4158 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 232,4158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,4158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(232,4158) x common factors =2 x 1 = 2
LCM(232,4158) = ( 232 × 4158 ) / 2
LCM(232,4158) = 964656 / 2
LCM(232,4158) = 482328
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FAQs on GCF of Fractions of 7748/232, 8684/4158
1. What is the HCF of 7748,8684?
The HCF of 7748,8684 is 52
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 7748/232, 8684/4158?
Answer: GCF of Numerators as per given numbers 7748/232, 8684/4158 is
GCF of Numerators i.e. for 7748,8684 is 52
LCM of denominators i.e. for 232,4158 is 482328.
Thus, GCF of Fractions is 52/482328.Finally, GCF of Fractions for 7748/232, 8684/4158 is 52/482328.