GCF of 274/960, 1233/8737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 274/960, 1233/8737 i.e 137/8387520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 274/960, 1233/8737.
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 274/960,1233/8737?
Given fractions are 274/960,1233/8737
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 274/960,1233/8737, numerators are 274,1233
Denominators are 960,8737
The GCF of 274,1233 is 137 .
LCM of 960,8737 is 8387520.
The greatest common factor of 274/960,1233/8737 = [GCF of 274,1233]/[LCM of 960,8737]= 137/8387520
Therefore, the GCF of 274/960,1233/8737 is 137/8387520.
To find the highest common factor of 274,1233, we have to find the factors of both numbers and list the highest common factor.
The factors of 274 are 1, 2, 137, 274
The factors of 1233 are 1, 3, 9, 137, 411, 1233
The HCF of 274,1233 is 137.
Lets's calculate GCF of 274,1233
| 137 | 274, 1233 |
| 2, 9 |
∴ So the GCF of the given numbers is 137 = 137
Greatest Common Factor of 274,1233 By Matching Biggest Common Factor Method
Now, list down the factors of 274
:1,2,137,274
Now, list down the factors of 1233
:1,3,9,137,411,1233
Greatest Common Factor
We found the factors 274,1233 . The biggest common factor number is the GCF number.
So the greatest common factor 274,1233 is 137.
Lets's calculate LCM of 960,8737
Given numbers has no common factors except 1. So, there LCM is their product i.e 8387520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 137/8387520
Therefore, the GCF of Fractions 274/960,1233/8737 is 137/8387520
Least Common Multiple of 960,8737 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 960,8737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,8737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(960,8737) x common factors =1 x 1 = 1
LCM(960,8737) = ( 960 × 8737 ) / 1
LCM(960,8737) = 8387520 / 1
LCM(960,8737) = 8387520
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FAQs on GCF of Fractions of 274/960, 1233/8737
1. What is the HCF of 274,1233?
The HCF of 274,1233 is 137
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 274/960, 1233/8737?
Answer: GCF of Numerators as per given numbers 274/960, 1233/8737 is
GCF of Numerators i.e. for 274,1233 is 137
LCM of denominators i.e. for 960,8737 is 8387520.
Thus, GCF of Fractions is 137/8387520.Finally, GCF of Fractions for 274/960, 1233/8737 is 137/8387520.