GCF of 1214/261, 7974/621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1214/261, 7974/621 i.e 2/18009 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1214/261, 7974/621.
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 1214/261,7974/621?
Given fractions are 1214/261,7974/621
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 1214/261,7974/621, numerators are 1214,7974
Denominators are 261,621
The GCF of 1214,7974 is 2 .
LCM of 261,621 is 18009.
The greatest common factor of 1214/261,7974/621 = [GCF of 1214,7974]/[LCM of 261,621]= 2/18009
Therefore, the GCF of 1214/261,7974/621 is 2/18009.
To find the highest common factor of 1214,7974, we have to find the factors of both numbers and list the highest common factor.
The factors of 1214 are 1, 2, 607, 1214
The factors of 7974 are 1, 2, 3, 6, 9, 18, 443, 886, 1329, 2658, 3987, 7974
The HCF of 1214,7974 is 2.
Lets's calculate GCF of 1214,7974
| 2 | 1214, 7974 |
| 607, 3987 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1214,7974 By Matching Biggest Common Factor Method
Now, list down the factors of 1214
:1,2,607,1214
Now, list down the factors of 7974
:1,2,3,6,9,18,443,886,1329,2658,3987,7974
Greatest Common Factor
We found the factors 1214,7974 . The biggest common factor number is the GCF number.
So the greatest common factor 1214,7974 is 2.
Lets's calculate LCM of 261,621
| 3 | 261, 621 |
| 3 | 87, 207 |
| 29, 69 |
∴ So the LCM of the given numbers is 3 x 3 x 29 x 69 = 18009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18009
Therefore, the GCF of Fractions 1214/261,7974/621 is 2/18009
Least Common Multiple of 261,621 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 261,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,621) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(261,621) x common factors =9 x 1 = 9
LCM(261,621) = ( 261 × 621 ) / 9
LCM(261,621) = 162081 / 9
LCM(261,621) = 18009
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FAQs on GCF of Fractions of 1214/261, 7974/621
1. What is the HCF of 1214,7974?
The HCF of 1214,7974 is 2
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 1214/261, 7974/621?
Answer: GCF of Numerators as per given numbers 1214/261, 7974/621 is
GCF of Numerators i.e. for 1214,7974 is 2
LCM of denominators i.e. for 261,621 is 18009.
Thus, GCF of Fractions is 2/18009.Finally, GCF of Fractions for 1214/261, 7974/621 is 2/18009.