GCF of 7555/932, 3474/990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7555/932, 3474/990 i.e 1/461340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7555/932, 3474/990.
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 7555/932,3474/990?
Given fractions are 7555/932,3474/990
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 7555/932,3474/990, numerators are 7555,3474
Denominators are 932,990
The GCF of 7555,3474 is 1 .
LCM of 932,990 is 461340.
The greatest common factor of 7555/932,3474/990 = [GCF of 7555,3474]/[LCM of 932,990]= 1/461340
Therefore, the GCF of 7555/932,3474/990 is 1/461340.
To find the highest common factor of 7555,3474, we have to find the factors of both numbers and list the highest common factor.
The factors of 7555 are 1, 5, 1511, 7555
The factors of 3474 are 1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474
The HCF of 7555,3474 is 1.
Lets's calculate GCF of 7555,3474
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7555,3474 By Matching Biggest Common Factor Method
Now, list down the factors of 7555
:1,5,1511,7555
Now, list down the factors of 3474
:1,2,3,6,9,18,193,386,579,1158,1737,3474
Greatest Common Factor
We found the factors 7555,3474 . The biggest common factor number is the GCF number.
So the greatest common factor 7555,3474 is 1.
Lets's calculate LCM of 932,990
| 2 | 932, 990 |
| 466, 495 |
∴ So the LCM of the given numbers is 2 x 466 x 495 = 461340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/461340
Therefore, the GCF of Fractions 7555/932,3474/990 is 1/461340
Least Common Multiple of 932,990 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 932,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(932,990) x common factors =2 x 1 = 2
LCM(932,990) = ( 932 × 990 ) / 2
LCM(932,990) = 922680 / 2
LCM(932,990) = 461340
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FAQs on GCF of Fractions of 7555/932, 3474/990
1. What is the HCF of 7555,3474?
The HCF of 7555,3474 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 7555/932, 3474/990?
Answer: GCF of Numerators as per given numbers 7555/932, 3474/990 is
GCF of Numerators i.e. for 7555,3474 is 1
LCM of denominators i.e. for 932,990 is 461340.
Thus, GCF of Fractions is 1/461340.Finally, GCF of Fractions for 7555/932, 3474/990 is 1/461340.