GCF of 7374/373, 5230/6182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7374/373, 5230/6182 i.e 2/2305886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7374/373, 5230/6182.
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 7374/373,5230/6182?
Given fractions are 7374/373,5230/6182
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 7374/373,5230/6182, numerators are 7374,5230
Denominators are 373,6182
The GCF of 7374,5230 is 2 .
LCM of 373,6182 is 2305886.
The greatest common factor of 7374/373,5230/6182 = [GCF of 7374,5230]/[LCM of 373,6182]= 2/2305886
Therefore, the GCF of 7374/373,5230/6182 is 2/2305886.
To find the highest common factor of 7374,5230, we have to find the factors of both numbers and list the highest common factor.
The factors of 7374 are 1, 2, 3, 6, 1229, 2458, 3687, 7374
The factors of 5230 are 1, 2, 5, 10, 523, 1046, 2615, 5230
The HCF of 7374,5230 is 2.
Lets's calculate GCF of 7374,5230
| 2 | 7374, 5230 |
| 3687, 2615 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7374,5230 By Matching Biggest Common Factor Method
Now, list down the factors of 7374
:1,2,3,6,1229,2458,3687,7374
Now, list down the factors of 5230
:1,2,5,10,523,1046,2615,5230
Greatest Common Factor
We found the factors 7374,5230 . The biggest common factor number is the GCF number.
So the greatest common factor 7374,5230 is 2.
Lets's calculate LCM of 373,6182
Given numbers has no common factors except 1. So, there LCM is their product i.e 2305886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2305886
Therefore, the GCF of Fractions 7374/373,5230/6182 is 2/2305886
Least Common Multiple of 373,6182 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 373,6182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,6182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,6182) x common factors =1 x 1 = 1
LCM(373,6182) = ( 373 × 6182 ) / 1
LCM(373,6182) = 2305886 / 1
LCM(373,6182) = 2305886
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FAQs on GCF of Fractions of 7374/373, 5230/6182
1. What is the HCF of 7374,5230?
The HCF of 7374,5230 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 7374/373, 5230/6182?
Answer: GCF of Numerators as per given numbers 7374/373, 5230/6182 is
GCF of Numerators i.e. for 7374,5230 is 2
LCM of denominators i.e. for 373,6182 is 2305886.
Thus, GCF of Fractions is 2/2305886.Finally, GCF of Fractions for 7374/373, 5230/6182 is 2/2305886.