GCF of 1499/706, 7325/312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1499/706, 7325/312 i.e 1/110136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1499/706, 7325/312.
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 1499/706,7325/312?
Given fractions are 1499/706,7325/312
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 1499/706,7325/312, numerators are 1499,7325
Denominators are 706,312
The GCF of 1499,7325 is 1 .
LCM of 706,312 is 110136.
The greatest common factor of 1499/706,7325/312 = [GCF of 1499,7325]/[LCM of 706,312]= 1/110136
Therefore, the GCF of 1499/706,7325/312 is 1/110136.
To find the highest common factor of 1499,7325, we have to find the factors of both numbers and list the highest common factor.
The factors of 1499 are 1, 1499
The factors of 7325 are 1, 5, 25, 293, 1465, 7325
The HCF of 1499,7325 is 1.
Lets's calculate GCF of 1499,7325
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1499,7325 By Matching Biggest Common Factor Method
Now, list down the factors of 1499
:1,1499
Now, list down the factors of 7325
:1,5,25,293,1465,7325
Greatest Common Factor
We found the factors 1499,7325 . The biggest common factor number is the GCF number.
So the greatest common factor 1499,7325 is 1.
Lets's calculate LCM of 706,312
| 2 | 706, 312 |
| 353, 156 |
∴ So the LCM of the given numbers is 2 x 353 x 156 = 110136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110136
Therefore, the GCF of Fractions 1499/706,7325/312 is 1/110136
Least Common Multiple of 706,312 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 706,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,312) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,312) x common factors =2 x 1 = 2
LCM(706,312) = ( 706 × 312 ) / 2
LCM(706,312) = 220272 / 2
LCM(706,312) = 110136
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FAQs on GCF of Fractions of 1499/706, 7325/312
1. What is the HCF of 1499,7325?
The HCF of 1499,7325 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 1499/706, 7325/312?
Answer: GCF of Numerators as per given numbers 1499/706, 7325/312 is
GCF of Numerators i.e. for 1499,7325 is 1
LCM of denominators i.e. for 706,312 is 110136.
Thus, GCF of Fractions is 1/110136.Finally, GCF of Fractions for 1499/706, 7325/312 is 1/110136.