GCF of 7267/321, 7976/2874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7267/321, 7976/2874 i.e 1/307518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7267/321, 7976/2874.
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 7267/321,7976/2874?
Given fractions are 7267/321,7976/2874
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 7267/321,7976/2874, numerators are 7267,7976
Denominators are 321,2874
The GCF of 7267,7976 is 1 .
LCM of 321,2874 is 307518.
The greatest common factor of 7267/321,7976/2874 = [GCF of 7267,7976]/[LCM of 321,2874]= 1/307518
Therefore, the GCF of 7267/321,7976/2874 is 1/307518.
To find the highest common factor of 7267,7976, we have to find the factors of both numbers and list the highest common factor.
The factors of 7267 are 1, 13, 43, 169, 559, 7267
The factors of 7976 are 1, 2, 4, 8, 997, 1994, 3988, 7976
The HCF of 7267,7976 is 1.
Lets's calculate GCF of 7267,7976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7267,7976 By Matching Biggest Common Factor Method
Now, list down the factors of 7267
:1,13,43,169,559,7267
Now, list down the factors of 7976
:1,2,4,8,997,1994,3988,7976
Greatest Common Factor
We found the factors 7267,7976 . The biggest common factor number is the GCF number.
So the greatest common factor 7267,7976 is 1.
Lets's calculate LCM of 321,2874
| 3 | 321, 2874 |
| 107, 958 |
∴ So the LCM of the given numbers is 3 x 107 x 958 = 307518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307518
Therefore, the GCF of Fractions 7267/321,7976/2874 is 1/307518
Least Common Multiple of 321,2874 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 321,2874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,2874) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(321,2874) x common factors =3 x 1 = 3
LCM(321,2874) = ( 321 × 2874 ) / 3
LCM(321,2874) = 922554 / 3
LCM(321,2874) = 307518
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FAQs on GCF of Fractions of 7267/321, 7976/2874
1. What is the HCF of 7267,7976?
The HCF of 7267,7976 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 7267/321, 7976/2874?
Answer: GCF of Numerators as per given numbers 7267/321, 7976/2874 is
GCF of Numerators i.e. for 7267,7976 is 1
LCM of denominators i.e. for 321,2874 is 307518.
Thus, GCF of Fractions is 1/307518.Finally, GCF of Fractions for 7267/321, 7976/2874 is 1/307518.