GCF of 1288/785, 7234/7685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1288/785, 7234/7685 i.e 2/1206545 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1288/785, 7234/7685.
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 1288/785,7234/7685?
Given fractions are 1288/785,7234/7685
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 1288/785,7234/7685, numerators are 1288,7234
Denominators are 785,7685
The GCF of 1288,7234 is 2 .
LCM of 785,7685 is 1206545.
The greatest common factor of 1288/785,7234/7685 = [GCF of 1288,7234]/[LCM of 785,7685]= 2/1206545
Therefore, the GCF of 1288/785,7234/7685 is 2/1206545.
To find the highest common factor of 1288,7234, we have to find the factors of both numbers and list the highest common factor.
The factors of 1288 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288
The factors of 7234 are 1, 2, 3617, 7234
The HCF of 1288,7234 is 2.
Lets's calculate GCF of 1288,7234
| 2 | 1288, 7234 |
| 644, 3617 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1288,7234 By Matching Biggest Common Factor Method
Now, list down the factors of 1288
:1,2,4,7,8,14,23,28,46,56,92,161,184,322,644,1288
Now, list down the factors of 7234
:1,2,3617,7234
Greatest Common Factor
We found the factors 1288,7234 . The biggest common factor number is the GCF number.
So the greatest common factor 1288,7234 is 2.
Lets's calculate LCM of 785,7685
| 5 | 785, 7685 |
| 157, 1537 |
∴ So the LCM of the given numbers is 5 x 157 x 1537 = 1206545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1206545
Therefore, the GCF of Fractions 1288/785,7234/7685 is 2/1206545
Least Common Multiple of 785,7685 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 785,7685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,7685) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(785,7685) x common factors =5 x 1 = 5
LCM(785,7685) = ( 785 × 7685 ) / 5
LCM(785,7685) = 6032725 / 5
LCM(785,7685) = 1206545
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FAQs on GCF of Fractions of 1288/785, 7234/7685
1. What is the HCF of 1288,7234?
The HCF of 1288,7234 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 1288/785, 7234/7685?
Answer: GCF of Numerators as per given numbers 1288/785, 7234/7685 is
GCF of Numerators i.e. for 1288,7234 is 2
LCM of denominators i.e. for 785,7685 is 1206545.
Thus, GCF of Fractions is 2/1206545.Finally, GCF of Fractions for 1288/785, 7234/7685 is 2/1206545.