GCF of 9037/742, 5551/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9037/742, 5551/274 i.e 7/101654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9037/742, 5551/274.
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 9037/742,5551/274?
Given fractions are 9037/742,5551/274
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 9037/742,5551/274, numerators are 9037,5551
Denominators are 742,274
The GCF of 9037,5551 is 7 .
LCM of 742,274 is 101654.
The greatest common factor of 9037/742,5551/274 = [GCF of 9037,5551]/[LCM of 742,274]= 7/101654
Therefore, the GCF of 9037/742,5551/274 is 7/101654.
To find the highest common factor of 9037,5551, we have to find the factors of both numbers and list the highest common factor.
The factors of 9037 are 1, 7, 1291, 9037
The factors of 5551 are 1, 7, 13, 61, 91, 427, 793, 5551
The HCF of 9037,5551 is 7.
Lets's calculate GCF of 9037,5551
| 7 | 9037, 5551 |
| 1291, 793 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9037,5551 By Matching Biggest Common Factor Method
Now, list down the factors of 9037
:1,7,1291,9037
Now, list down the factors of 5551
:1,7,13,61,91,427,793,5551
Greatest Common Factor
We found the factors 9037,5551 . The biggest common factor number is the GCF number.
So the greatest common factor 9037,5551 is 7.
Lets's calculate LCM of 742,274
| 2 | 742, 274 |
| 371, 137 |
∴ So the LCM of the given numbers is 2 x 371 x 137 = 101654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/101654
Therefore, the GCF of Fractions 9037/742,5551/274 is 7/101654
Least Common Multiple of 742,274 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 742,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,274) x common factors =2 x 1 = 2
LCM(742,274) = ( 742 × 274 ) / 2
LCM(742,274) = 203308 / 2
LCM(742,274) = 101654
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FAQs on GCF of Fractions of 9037/742, 5551/274
1. What is the HCF of 9037,5551?
The HCF of 9037,5551 is 7
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 9037/742, 5551/274?
Answer: GCF of Numerators as per given numbers 9037/742, 5551/274 is
GCF of Numerators i.e. for 9037,5551 is 7
LCM of denominators i.e. for 742,274 is 101654.
Thus, GCF of Fractions is 7/101654.Finally, GCF of Fractions for 9037/742, 5551/274 is 7/101654.