GCF of 9132/298, 3416/7960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9132/298, 3416/7960 i.e 4/1186040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9132/298, 3416/7960.
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 9132/298,3416/7960?
Given fractions are 9132/298,3416/7960
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 9132/298,3416/7960, numerators are 9132,3416
Denominators are 298,7960
The GCF of 9132,3416 is 4 .
LCM of 298,7960 is 1186040.
The greatest common factor of 9132/298,3416/7960 = [GCF of 9132,3416]/[LCM of 298,7960]= 4/1186040
Therefore, the GCF of 9132/298,3416/7960 is 4/1186040.
To find the highest common factor of 9132,3416, we have to find the factors of both numbers and list the highest common factor.
The factors of 9132 are 1, 2, 3, 4, 6, 12, 761, 1522, 2283, 3044, 4566, 9132
The factors of 3416 are 1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416
The HCF of 9132,3416 is 4.
Lets's calculate GCF of 9132,3416
| 2 | 9132, 3416 |
| 2 | 4566, 1708 |
| 2283, 854 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9132,3416 By Matching Biggest Common Factor Method
Now, list down the factors of 9132
:1,2,3,4,6,12,761,1522,2283,3044,4566,9132
Now, list down the factors of 3416
:1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416
Greatest Common Factor
We found the factors 9132,3416 . The biggest common factor number is the GCF number.
So the greatest common factor 9132,3416 is 4.
Lets's calculate LCM of 298,7960
| 2 | 298, 7960 |
| 149, 3980 |
∴ So the LCM of the given numbers is 2 x 149 x 3980 = 1186040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1186040
Therefore, the GCF of Fractions 9132/298,3416/7960 is 4/1186040
Least Common Multiple of 298,7960 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 298,7960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,7960) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,7960) x common factors =2 x 1 = 2
LCM(298,7960) = ( 298 × 7960 ) / 2
LCM(298,7960) = 2372080 / 2
LCM(298,7960) = 1186040
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FAQs on GCF of Fractions of 9132/298, 3416/7960
1. What is the HCF of 9132,3416?
The HCF of 9132,3416 is 4
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 9132/298, 3416/7960?
Answer: GCF of Numerators as per given numbers 9132/298, 3416/7960 is
GCF of Numerators i.e. for 9132,3416 is 4
LCM of denominators i.e. for 298,7960 is 1186040.
Thus, GCF of Fractions is 4/1186040.Finally, GCF of Fractions for 9132/298, 3416/7960 is 4/1186040.