GCF of 7737/584, 2702/127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7737/584, 2702/127 i.e 1/74168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7737/584, 2702/127.
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 7737/584,2702/127?
Given fractions are 7737/584,2702/127
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 7737/584,2702/127, numerators are 7737,2702
Denominators are 584,127
The GCF of 7737,2702 is 1 .
LCM of 584,127 is 74168.
The greatest common factor of 7737/584,2702/127 = [GCF of 7737,2702]/[LCM of 584,127]= 1/74168
Therefore, the GCF of 7737/584,2702/127 is 1/74168.
To find the highest common factor of 7737,2702, we have to find the factors of both numbers and list the highest common factor.
The factors of 7737 are 1, 3, 2579, 7737
The factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702
The HCF of 7737,2702 is 1.
Lets's calculate GCF of 7737,2702
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7737,2702 By Matching Biggest Common Factor Method
Now, list down the factors of 7737
:1,3,2579,7737
Now, list down the factors of 2702
:1,2,7,14,193,386,1351,2702
Greatest Common Factor
We found the factors 7737,2702 . The biggest common factor number is the GCF number.
So the greatest common factor 7737,2702 is 1.
Lets's calculate LCM of 584,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 74168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74168
Therefore, the GCF of Fractions 7737/584,2702/127 is 1/74168
Least Common Multiple of 584,127 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 584,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,127) x common factors =1 x 1 = 1
LCM(584,127) = ( 584 × 127 ) / 1
LCM(584,127) = 74168 / 1
LCM(584,127) = 74168
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FAQs on GCF of Fractions of 7737/584, 2702/127
1. What is the HCF of 7737,2702?
The HCF of 7737,2702 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 7737/584, 2702/127?
Answer: GCF of Numerators as per given numbers 7737/584, 2702/127 is
GCF of Numerators i.e. for 7737,2702 is 1
LCM of denominators i.e. for 584,127 is 74168.
Thus, GCF of Fractions is 1/74168.Finally, GCF of Fractions for 7737/584, 2702/127 is 1/74168.