GCF of 1496/697, 5287/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1496/697, 5287/219 i.e 17/152643 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1496/697, 5287/219.
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 1496/697,5287/219?
Given fractions are 1496/697,5287/219
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 1496/697,5287/219, numerators are 1496,5287
Denominators are 697,219
The GCF of 1496,5287 is 17 .
LCM of 697,219 is 152643.
The greatest common factor of 1496/697,5287/219 = [GCF of 1496,5287]/[LCM of 697,219]= 17/152643
Therefore, the GCF of 1496/697,5287/219 is 17/152643.
To find the highest common factor of 1496,5287, 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 5287 are 1, 17, 311, 5287
The HCF of 1496,5287 is 17.
Lets's calculate GCF of 1496,5287
| 17 | 1496, 5287 |
| 88, 311 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 1496,5287 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 5287
:1,17,311,5287
Greatest Common Factor
We found the factors 1496,5287 . The biggest common factor number is the GCF number.
So the greatest common factor 1496,5287 is 17.
Lets's calculate LCM of 697,219
Given numbers has no common factors except 1. So, there LCM is their product i.e 152643
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/152643
Therefore, the GCF of Fractions 1496/697,5287/219 is 17/152643
Least Common Multiple of 697,219 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 697,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,219) x common factors =1 x 1 = 1
LCM(697,219) = ( 697 × 219 ) / 1
LCM(697,219) = 152643 / 1
LCM(697,219) = 152643
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FAQs on GCF of Fractions of 1496/697, 5287/219
1. What is the HCF of 1496,5287?
The HCF of 1496,5287 is 17
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 1496/697, 5287/219?
Answer: GCF of Numerators as per given numbers 1496/697, 5287/219 is
GCF of Numerators i.e. for 1496,5287 is 17
LCM of denominators i.e. for 697,219 is 152643.
Thus, GCF of Fractions is 17/152643.Finally, GCF of Fractions for 1496/697, 5287/219 is 17/152643.