GCF of 9741/900, 4606/7450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9741/900, 4606/7450 i.e 1/134100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9741/900, 4606/7450.
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 9741/900,4606/7450?
Given fractions are 9741/900,4606/7450
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 9741/900,4606/7450, numerators are 9741,4606
Denominators are 900,7450
The GCF of 9741,4606 is 1 .
LCM of 900,7450 is 134100.
The greatest common factor of 9741/900,4606/7450 = [GCF of 9741,4606]/[LCM of 900,7450]= 1/134100
Therefore, the GCF of 9741/900,4606/7450 is 1/134100.
To find the highest common factor of 9741,4606, we have to find the factors of both numbers and list the highest common factor.
The factors of 9741 are 1, 3, 17, 51, 191, 573, 3247, 9741
The factors of 4606 are 1, 2, 7, 14, 47, 49, 94, 98, 329, 658, 2303, 4606
The HCF of 9741,4606 is 1.
Lets's calculate GCF of 9741,4606
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9741,4606 By Matching Biggest Common Factor Method
Now, list down the factors of 9741
:1,3,17,51,191,573,3247,9741
Now, list down the factors of 4606
:1,2,7,14,47,49,94,98,329,658,2303,4606
Greatest Common Factor
We found the factors 9741,4606 . The biggest common factor number is the GCF number.
So the greatest common factor 9741,4606 is 1.
Lets's calculate LCM of 900,7450
| 2 | 900, 7450 |
| 5 | 450, 3725 |
| 5 | 90, 745 |
| 18, 149 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 18 x 149 = 134100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134100
Therefore, the GCF of Fractions 9741/900,4606/7450 is 1/134100
Least Common Multiple of 900,7450 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 900,7450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,7450) = 50
common factors(in case of two or more numbers have common factors) = 1
GCF(900,7450) x common factors =50 x 1 = 50
LCM(900,7450) = ( 900 × 7450 ) / 50
LCM(900,7450) = 6705000 / 50
LCM(900,7450) = 134100
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FAQs on GCF of Fractions of 9741/900, 4606/7450
1. What is the HCF of 9741,4606?
The HCF of 9741,4606 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 9741/900, 4606/7450?
Answer: GCF of Numerators as per given numbers 9741/900, 4606/7450 is
GCF of Numerators i.e. for 9741,4606 is 1
LCM of denominators i.e. for 900,7450 is 134100.
Thus, GCF of Fractions is 1/134100.Finally, GCF of Fractions for 9741/900, 4606/7450 is 1/134100.