GCF of 1192/681, 2616/743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1192/681, 2616/743 i.e 8/505983 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1192/681, 2616/743.
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 1192/681,2616/743?
Given fractions are 1192/681,2616/743
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 1192/681,2616/743, numerators are 1192,2616
Denominators are 681,743
The GCF of 1192,2616 is 8 .
LCM of 681,743 is 505983.
The greatest common factor of 1192/681,2616/743 = [GCF of 1192,2616]/[LCM of 681,743]= 8/505983
Therefore, the GCF of 1192/681,2616/743 is 8/505983.
To find the highest common factor of 1192,2616, we have to find the factors of both numbers and list the highest common factor.
The factors of 1192 are 1, 2, 4, 8, 149, 298, 596, 1192
The factors of 2616 are 1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308, 2616
The HCF of 1192,2616 is 8.
Lets's calculate GCF of 1192,2616
| 2 | 1192, 2616 |
| 2 | 596, 1308 |
| 2 | 298, 654 |
| 149, 327 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1192,2616 By Matching Biggest Common Factor Method
Now, list down the factors of 1192
:1,2,4,8,149,298,596,1192
Now, list down the factors of 2616
:1,2,3,4,6,8,12,24,109,218,327,436,654,872,1308,2616
Greatest Common Factor
We found the factors 1192,2616 . The biggest common factor number is the GCF number.
So the greatest common factor 1192,2616 is 8.
Lets's calculate LCM of 681,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 505983
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/505983
Therefore, the GCF of Fractions 1192/681,2616/743 is 8/505983
Least Common Multiple of 681,743 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 681,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,743) x common factors =1 x 1 = 1
LCM(681,743) = ( 681 × 743 ) / 1
LCM(681,743) = 505983 / 1
LCM(681,743) = 505983
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FAQs on GCF of Fractions of 1192/681, 2616/743
1. What is the HCF of 1192,2616?
The HCF of 1192,2616 is 8
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 1192/681, 2616/743?
Answer: GCF of Numerators as per given numbers 1192/681, 2616/743 is
GCF of Numerators i.e. for 1192,2616 is 8
LCM of denominators i.e. for 681,743 is 505983.
Thus, GCF of Fractions is 8/505983.Finally, GCF of Fractions for 1192/681, 2616/743 is 8/505983.