GCF of 1037/776, 8738/7430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1037/776, 8738/7430 i.e 17/2882840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1037/776, 8738/7430.
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 1037/776,8738/7430?
Given fractions are 1037/776,8738/7430
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 1037/776,8738/7430, numerators are 1037,8738
Denominators are 776,7430
The GCF of 1037,8738 is 17 .
LCM of 776,7430 is 2882840.
The greatest common factor of 1037/776,8738/7430 = [GCF of 1037,8738]/[LCM of 776,7430]= 17/2882840
Therefore, the GCF of 1037/776,8738/7430 is 17/2882840.
To find the highest common factor of 1037,8738, we have to find the factors of both numbers and list the highest common factor.
The factors of 1037 are 1, 17, 61, 1037
The factors of 8738 are 1, 2, 17, 34, 257, 514, 4369, 8738
The HCF of 1037,8738 is 17.
Lets's calculate GCF of 1037,8738
| 17 | 1037, 8738 |
| 61, 514 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 1037,8738 By Matching Biggest Common Factor Method
Now, list down the factors of 1037
:1,17,61,1037
Now, list down the factors of 8738
:1,2,17,34,257,514,4369,8738
Greatest Common Factor
We found the factors 1037,8738 . The biggest common factor number is the GCF number.
So the greatest common factor 1037,8738 is 17.
Lets's calculate LCM of 776,7430
| 2 | 776, 7430 |
| 388, 3715 |
∴ So the LCM of the given numbers is 2 x 388 x 3715 = 2882840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2882840
Therefore, the GCF of Fractions 1037/776,8738/7430 is 17/2882840
Least Common Multiple of 776,7430 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 776,7430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,7430) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(776,7430) x common factors =2 x 1 = 2
LCM(776,7430) = ( 776 × 7430 ) / 2
LCM(776,7430) = 5765680 / 2
LCM(776,7430) = 2882840
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FAQs on GCF of Fractions of 1037/776, 8738/7430
1. What is the HCF of 1037,8738?
The HCF of 1037,8738 is 17
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 1037/776, 8738/7430?
Answer: GCF of Numerators as per given numbers 1037/776, 8738/7430 is
GCF of Numerators i.e. for 1037,8738 is 17
LCM of denominators i.e. for 776,7430 is 2882840.
Thus, GCF of Fractions is 17/2882840.Finally, GCF of Fractions for 1037/776, 8738/7430 is 17/2882840.