GCF of 5976/155, 8466/7522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5976/155, 8466/7522 i.e 498/1165910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5976/155, 8466/7522.
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 5976/155,8466/7522?
Given fractions are 5976/155,8466/7522
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 5976/155,8466/7522, numerators are 5976,8466
Denominators are 155,7522
The GCF of 5976,8466 is 498 .
LCM of 155,7522 is 1165910.
The greatest common factor of 5976/155,8466/7522 = [GCF of 5976,8466]/[LCM of 155,7522]= 498/1165910
Therefore, the GCF of 5976/155,8466/7522 is 498/1165910.
To find the highest common factor of 5976,8466, we have to find the factors of both numbers and list the highest common factor.
The factors of 5976 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988, 5976
The factors of 8466 are 1, 2, 3, 6, 17, 34, 51, 83, 102, 166, 249, 498, 1411, 2822, 4233, 8466
The HCF of 5976,8466 is 498.
Lets's calculate GCF of 5976,8466
| 2 | 5976, 8466 |
| 3 | 2988, 4233 |
| 83 | 996, 1411 |
| 12, 17 |
∴ So the GCF of the given numbers is 2 x 3 x 83 = 498
Greatest Common Factor of 5976,8466 By Matching Biggest Common Factor Method
Now, list down the factors of 5976
:1,2,3,4,6,8,9,12,18,24,36,72,83,166,249,332,498,664,747,996,1494,1992,2988,5976
Now, list down the factors of 8466
:1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466
Greatest Common Factor
We found the factors 5976,8466 . The biggest common factor number is the GCF number.
So the greatest common factor 5976,8466 is 498.
Lets's calculate LCM of 155,7522
Given numbers has no common factors except 1. So, there LCM is their product i.e 1165910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 498/1165910
Therefore, the GCF of Fractions 5976/155,8466/7522 is 498/1165910
Least Common Multiple of 155,7522 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 155,7522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,7522) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,7522) x common factors =1 x 1 = 1
LCM(155,7522) = ( 155 × 7522 ) / 1
LCM(155,7522) = 1165910 / 1
LCM(155,7522) = 1165910
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FAQs on GCF of Fractions of 5976/155, 8466/7522
1. What is the HCF of 5976,8466?
The HCF of 5976,8466 is 498
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 5976/155, 8466/7522?
Answer: GCF of Numerators as per given numbers 5976/155, 8466/7522 is
GCF of Numerators i.e. for 5976,8466 is 498
LCM of denominators i.e. for 155,7522 is 1165910.
Thus, GCF of Fractions is 498/1165910.Finally, GCF of Fractions for 5976/155, 8466/7522 is 498/1165910.