GCF of 1393/998, 7506/4280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1393/998, 7506/4280 i.e 1/2135720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1393/998, 7506/4280.
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 1393/998,7506/4280?
Given fractions are 1393/998,7506/4280
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 1393/998,7506/4280, numerators are 1393,7506
Denominators are 998,4280
The GCF of 1393,7506 is 1 .
LCM of 998,4280 is 2135720.
The greatest common factor of 1393/998,7506/4280 = [GCF of 1393,7506]/[LCM of 998,4280]= 1/2135720
Therefore, the GCF of 1393/998,7506/4280 is 1/2135720.
To find the highest common factor of 1393,7506, we have to find the factors of both numbers and list the highest common factor.
The factors of 1393 are 1, 7, 199, 1393
The factors of 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506
The HCF of 1393,7506 is 1.
Lets's calculate GCF of 1393,7506
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1393,7506 By Matching Biggest Common Factor Method
Now, list down the factors of 1393
:1,7,199,1393
Now, list down the factors of 7506
:1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506
Greatest Common Factor
We found the factors 1393,7506 . The biggest common factor number is the GCF number.
So the greatest common factor 1393,7506 is 1.
Lets's calculate LCM of 998,4280
| 2 | 998, 4280 |
| 499, 2140 |
∴ So the LCM of the given numbers is 2 x 499 x 2140 = 2135720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2135720
Therefore, the GCF of Fractions 1393/998,7506/4280 is 1/2135720
Least Common Multiple of 998,4280 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 998,4280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,4280) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,4280) x common factors =2 x 1 = 2
LCM(998,4280) = ( 998 × 4280 ) / 2
LCM(998,4280) = 4271440 / 2
LCM(998,4280) = 2135720
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FAQs on GCF of Fractions of 1393/998, 7506/4280
1. What is the HCF of 1393,7506?
The HCF of 1393,7506 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 1393/998, 7506/4280?
Answer: GCF of Numerators as per given numbers 1393/998, 7506/4280 is
GCF of Numerators i.e. for 1393,7506 is 1
LCM of denominators i.e. for 998,4280 is 2135720.
Thus, GCF of Fractions is 1/2135720.Finally, GCF of Fractions for 1393/998, 7506/4280 is 1/2135720.