GCF of 1496/671, 9146/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1496/671, 9146/667 i.e 34/447557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1496/671, 9146/667.
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 1496/671,9146/667?
Given fractions are 1496/671,9146/667
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 1496/671,9146/667, numerators are 1496,9146
Denominators are 671,667
The GCF of 1496,9146 is 34 .
LCM of 671,667 is 447557.
The greatest common factor of 1496/671,9146/667 = [GCF of 1496,9146]/[LCM of 671,667]= 34/447557
Therefore, the GCF of 1496/671,9146/667 is 34/447557.
To find the highest common factor of 1496,9146, we have to find the factors of both numbers and list the highest common factor.
The factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496
The factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146
The HCF of 1496,9146 is 34.
Lets's calculate GCF of 1496,9146
| 2 | 1496, 9146 |
| 17 | 748, 4573 |
| 44, 269 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 1496,9146 By Matching Biggest Common Factor Method
Now, list down the factors of 1496
:1,2,4,8,11,17,22,34,44,68,88,136,187,374,748,1496
Now, list down the factors of 9146
:1,2,17,34,269,538,4573,9146
Greatest Common Factor
We found the factors 1496,9146 . The biggest common factor number is the GCF number.
So the greatest common factor 1496,9146 is 34.
Lets's calculate LCM of 671,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 447557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/447557
Therefore, the GCF of Fractions 1496/671,9146/667 is 34/447557
Least Common Multiple of 671,667 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 671,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,667) x common factors =1 x 1 = 1
LCM(671,667) = ( 671 × 667 ) / 1
LCM(671,667) = 447557 / 1
LCM(671,667) = 447557
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FAQs on GCF of Fractions of 1496/671, 9146/667
1. What is the HCF of 1496,9146?
The HCF of 1496,9146 is 34
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 1496/671, 9146/667?
Answer: GCF of Numerators as per given numbers 1496/671, 9146/667 is
GCF of Numerators i.e. for 1496,9146 is 34
LCM of denominators i.e. for 671,667 is 447557.
Thus, GCF of Fractions is 34/447557.Finally, GCF of Fractions for 1496/671, 9146/667 is 34/447557.