GCF of 368/268, 7264/714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 368/268, 7264/714 i.e 16/95676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 368/268, 7264/714.
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 368/268,7264/714?
Given fractions are 368/268,7264/714
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 368/268,7264/714, numerators are 368,7264
Denominators are 268,714
The GCF of 368,7264 is 16 .
LCM of 268,714 is 95676.
The greatest common factor of 368/268,7264/714 = [GCF of 368,7264]/[LCM of 268,714]= 16/95676
Therefore, the GCF of 368/268,7264/714 is 16/95676.
To find the highest common factor of 368,7264, we have to find the factors of both numbers and list the highest common factor.
The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The factors of 7264 are 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264
The HCF of 368,7264 is 16.
Lets's calculate GCF of 368,7264
| 2 | 368, 7264 |
| 2 | 184, 3632 |
| 2 | 92, 1816 |
| 2 | 46, 908 |
| 23, 454 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 368,7264 By Matching Biggest Common Factor Method
Now, list down the factors of 368
:1,2,4,8,16,23,46,92,184,368
Now, list down the factors of 7264
:1,2,4,8,16,32,227,454,908,1816,3632,7264
Greatest Common Factor
We found the factors 368,7264 . The biggest common factor number is the GCF number.
So the greatest common factor 368,7264 is 16.
Lets's calculate LCM of 268,714
| 2 | 268, 714 |
| 134, 357 |
∴ So the LCM of the given numbers is 2 x 134 x 357 = 95676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/95676
Therefore, the GCF of Fractions 368/268,7264/714 is 16/95676
Least Common Multiple of 268,714 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 268,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,714) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(268,714) x common factors =2 x 1 = 2
LCM(268,714) = ( 268 × 714 ) / 2
LCM(268,714) = 191352 / 2
LCM(268,714) = 95676
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FAQs on GCF of Fractions of 368/268, 7264/714
1. What is the HCF of 368,7264?
The HCF of 368,7264 is 16
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 368/268, 7264/714?
Answer: GCF of Numerators as per given numbers 368/268, 7264/714 is
GCF of Numerators i.e. for 368,7264 is 16
LCM of denominators i.e. for 268,714 is 95676.
Thus, GCF of Fractions is 16/95676.Finally, GCF of Fractions for 368/268, 7264/714 is 16/95676.