GCF of 4288/194, 8037/368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4288/194, 8037/368 i.e 1/35696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4288/194, 8037/368.
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 4288/194,8037/368?
Given fractions are 4288/194,8037/368
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 4288/194,8037/368, numerators are 4288,8037
Denominators are 194,368
The GCF of 4288,8037 is 1 .
LCM of 194,368 is 35696.
The greatest common factor of 4288/194,8037/368 = [GCF of 4288,8037]/[LCM of 194,368]= 1/35696
Therefore, the GCF of 4288/194,8037/368 is 1/35696.
To find the highest common factor of 4288,8037, we have to find the factors of both numbers and list the highest common factor.
The factors of 4288 are 1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288
The factors of 8037 are 1, 3, 9, 19, 47, 57, 141, 171, 423, 893, 2679, 8037
The HCF of 4288,8037 is 1.
Lets's calculate GCF of 4288,8037
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4288,8037 By Matching Biggest Common Factor Method
Now, list down the factors of 4288
:1,2,4,8,16,32,64,67,134,268,536,1072,2144,4288
Now, list down the factors of 8037
:1,3,9,19,47,57,141,171,423,893,2679,8037
Greatest Common Factor
We found the factors 4288,8037 . The biggest common factor number is the GCF number.
So the greatest common factor 4288,8037 is 1.
Lets's calculate LCM of 194,368
| 2 | 194, 368 |
| 97, 184 |
∴ So the LCM of the given numbers is 2 x 97 x 184 = 35696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35696
Therefore, the GCF of Fractions 4288/194,8037/368 is 1/35696
Least Common Multiple of 194,368 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 194,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,368) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,368) x common factors =2 x 1 = 2
LCM(194,368) = ( 194 × 368 ) / 2
LCM(194,368) = 71392 / 2
LCM(194,368) = 35696
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FAQs on GCF of Fractions of 4288/194, 8037/368
1. What is the HCF of 4288,8037?
The HCF of 4288,8037 is 1
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 4288/194, 8037/368?
Answer: GCF of Numerators as per given numbers 4288/194, 8037/368 is
GCF of Numerators i.e. for 4288,8037 is 1
LCM of denominators i.e. for 194,368 is 35696.
Thus, GCF of Fractions is 1/35696.Finally, GCF of Fractions for 4288/194, 8037/368 is 1/35696.