GCF of 7594/164, 4288/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7594/164, 4288/120 i.e 2/4920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7594/164, 4288/120.
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 7594/164,4288/120?
Given fractions are 7594/164,4288/120
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 7594/164,4288/120, numerators are 7594,4288
Denominators are 164,120
The GCF of 7594,4288 is 2 .
LCM of 164,120 is 4920.
The greatest common factor of 7594/164,4288/120 = [GCF of 7594,4288]/[LCM of 164,120]= 2/4920
Therefore, the GCF of 7594/164,4288/120 is 2/4920.
To find the highest common factor of 7594,4288, we have to find the factors of both numbers and list the highest common factor.
The factors of 7594 are 1, 2, 3797, 7594
The factors of 4288 are 1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288
The HCF of 7594,4288 is 2.
Lets's calculate GCF of 7594,4288
| 2 | 7594, 4288 |
| 3797, 2144 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7594,4288 By Matching Biggest Common Factor Method
Now, list down the factors of 7594
:1,2,3797,7594
Now, list down the factors of 4288
:1,2,4,8,16,32,64,67,134,268,536,1072,2144,4288
Greatest Common Factor
We found the factors 7594,4288 . The biggest common factor number is the GCF number.
So the greatest common factor 7594,4288 is 2.
Lets's calculate LCM of 164,120
| 2 | 164, 120 |
| 2 | 82, 60 |
| 41, 30 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 30 = 4920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4920
Therefore, the GCF of Fractions 7594/164,4288/120 is 2/4920
Least Common Multiple of 164,120 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 164,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,120) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(164,120) x common factors =4 x 1 = 4
LCM(164,120) = ( 164 × 120 ) / 4
LCM(164,120) = 19680 / 4
LCM(164,120) = 4920
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FAQs on GCF of Fractions of 7594/164, 4288/120
1. What is the HCF of 7594,4288?
The HCF of 7594,4288 is 2
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 7594/164, 4288/120?
Answer: GCF of Numerators as per given numbers 7594/164, 4288/120 is
GCF of Numerators i.e. for 7594,4288 is 2
LCM of denominators i.e. for 164,120 is 4920.
Thus, GCF of Fractions is 2/4920.Finally, GCF of Fractions for 7594/164, 4288/120 is 2/4920.