GCF of 2368/244, 8140/734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2368/244, 8140/734 i.e 148/89548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2368/244, 8140/734.
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 2368/244,8140/734?
Given fractions are 2368/244,8140/734
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 2368/244,8140/734, numerators are 2368,8140
Denominators are 244,734
The GCF of 2368,8140 is 148 .
LCM of 244,734 is 89548.
The greatest common factor of 2368/244,8140/734 = [GCF of 2368,8140]/[LCM of 244,734]= 148/89548
Therefore, the GCF of 2368/244,8140/734 is 148/89548.
To find the highest common factor of 2368,8140, we have to find the factors of both numbers and list the highest common factor.
The factors of 2368 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368
The factors of 8140 are 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140
The HCF of 2368,8140 is 148.
Lets's calculate GCF of 2368,8140
| 2 | 2368, 8140 |
| 2 | 1184, 4070 |
| 37 | 592, 2035 |
| 16, 55 |
∴ So the GCF of the given numbers is 2 x 2 x 37 = 148
Greatest Common Factor of 2368,8140 By Matching Biggest Common Factor Method
Now, list down the factors of 2368
:1,2,4,8,16,32,37,64,74,148,296,592,1184,2368
Now, list down the factors of 8140
:1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140
Greatest Common Factor
We found the factors 2368,8140 . The biggest common factor number is the GCF number.
So the greatest common factor 2368,8140 is 148.
Lets's calculate LCM of 244,734
| 2 | 244, 734 |
| 122, 367 |
∴ So the LCM of the given numbers is 2 x 122 x 367 = 89548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 148/89548
Therefore, the GCF of Fractions 2368/244,8140/734 is 148/89548
Least Common Multiple of 244,734 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 244,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(244,734) x common factors =2 x 1 = 2
LCM(244,734) = ( 244 × 734 ) / 2
LCM(244,734) = 179096 / 2
LCM(244,734) = 89548
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FAQs on GCF of Fractions of 2368/244, 8140/734
1. What is the HCF of 2368,8140?
The HCF of 2368,8140 is 148
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 2368/244, 8140/734?
Answer: GCF of Numerators as per given numbers 2368/244, 8140/734 is
GCF of Numerators i.e. for 2368,8140 is 148
LCM of denominators i.e. for 244,734 is 89548.
Thus, GCF of Fractions is 148/89548.Finally, GCF of Fractions for 2368/244, 8140/734 is 148/89548.