GCF of 7037/932, 8706/9730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7037/932, 8706/9730 i.e 1/4534180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7037/932, 8706/9730.
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 7037/932,8706/9730?
Given fractions are 7037/932,8706/9730
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 7037/932,8706/9730, numerators are 7037,8706
Denominators are 932,9730
The GCF of 7037,8706 is 1 .
LCM of 932,9730 is 4534180.
The greatest common factor of 7037/932,8706/9730 = [GCF of 7037,8706]/[LCM of 932,9730]= 1/4534180
Therefore, the GCF of 7037/932,8706/9730 is 1/4534180.
To find the highest common factor of 7037,8706, we have to find the factors of both numbers and list the highest common factor.
The factors of 7037 are 1, 31, 227, 7037
The factors of 8706 are 1, 2, 3, 6, 1451, 2902, 4353, 8706
The HCF of 7037,8706 is 1.
Lets's calculate GCF of 7037,8706
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7037,8706 By Matching Biggest Common Factor Method
Now, list down the factors of 7037
:1,31,227,7037
Now, list down the factors of 8706
:1,2,3,6,1451,2902,4353,8706
Greatest Common Factor
We found the factors 7037,8706 . The biggest common factor number is the GCF number.
So the greatest common factor 7037,8706 is 1.
Lets's calculate LCM of 932,9730
| 2 | 932, 9730 |
| 466, 4865 |
∴ So the LCM of the given numbers is 2 x 466 x 4865 = 4534180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4534180
Therefore, the GCF of Fractions 7037/932,8706/9730 is 1/4534180
Least Common Multiple of 932,9730 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 932,9730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,9730) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(932,9730) x common factors =2 x 1 = 2
LCM(932,9730) = ( 932 × 9730 ) / 2
LCM(932,9730) = 9068360 / 2
LCM(932,9730) = 4534180
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FAQs on GCF of Fractions of 7037/932, 8706/9730
1. What is the HCF of 7037,8706?
The HCF of 7037,8706 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 7037/932, 8706/9730?
Answer: GCF of Numerators as per given numbers 7037/932, 8706/9730 is
GCF of Numerators i.e. for 7037,8706 is 1
LCM of denominators i.e. for 932,9730 is 4534180.
Thus, GCF of Fractions is 1/4534180.Finally, GCF of Fractions for 7037/932, 8706/9730 is 1/4534180.