GCF of 1347/414, 2353/5002
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1347/414, 2353/5002 i.e 1/1035414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1347/414, 2353/5002.
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 1347/414,2353/5002?
Given fractions are 1347/414,2353/5002
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 1347/414,2353/5002, numerators are 1347,2353
Denominators are 414,5002
The GCF of 1347,2353 is 1 .
LCM of 414,5002 is 1035414.
The greatest common factor of 1347/414,2353/5002 = [GCF of 1347,2353]/[LCM of 414,5002]= 1/1035414
Therefore, the GCF of 1347/414,2353/5002 is 1/1035414.
To find the highest common factor of 1347,2353, we have to find the factors of both numbers and list the highest common factor.
The factors of 1347 are 1, 3, 449, 1347
The factors of 2353 are 1, 13, 181, 2353
The HCF of 1347,2353 is 1.
Lets's calculate GCF of 1347,2353
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1347,2353 By Matching Biggest Common Factor Method
Now, list down the factors of 1347
:1,3,449,1347
Now, list down the factors of 2353
:1,13,181,2353
Greatest Common Factor
We found the factors 1347,2353 . The biggest common factor number is the GCF number.
So the greatest common factor 1347,2353 is 1.
Lets's calculate LCM of 414,5002
| 2 | 414, 5002 |
| 207, 2501 |
∴ So the LCM of the given numbers is 2 x 207 x 2501 = 1035414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1035414
Therefore, the GCF of Fractions 1347/414,2353/5002 is 1/1035414
Least Common Multiple of 414,5002 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 414,5002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,5002) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,5002) x common factors =2 x 1 = 2
LCM(414,5002) = ( 414 × 5002 ) / 2
LCM(414,5002) = 2070828 / 2
LCM(414,5002) = 1035414
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FAQs on GCF of Fractions of 1347/414, 2353/5002
1. What is the HCF of 1347,2353?
The HCF of 1347,2353 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 1347/414, 2353/5002?
Answer: GCF of Numerators as per given numbers 1347/414, 2353/5002 is
GCF of Numerators i.e. for 1347,2353 is 1
LCM of denominators i.e. for 414,5002 is 1035414.
Thus, GCF of Fractions is 1/1035414.Finally, GCF of Fractions for 1347/414, 2353/5002 is 1/1035414.