GCF of 7701/903, 9771/2212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7701/903, 9771/2212 i.e 3/285348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7701/903, 9771/2212.
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 7701/903,9771/2212?
Given fractions are 7701/903,9771/2212
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 7701/903,9771/2212, numerators are 7701,9771
Denominators are 903,2212
The GCF of 7701,9771 is 3 .
LCM of 903,2212 is 285348.
The greatest common factor of 7701/903,9771/2212 = [GCF of 7701,9771]/[LCM of 903,2212]= 3/285348
Therefore, the GCF of 7701/903,9771/2212 is 3/285348.
To find the highest common factor of 7701,9771, we have to find the factors of both numbers and list the highest common factor.
The factors of 7701 are 1, 3, 17, 51, 151, 453, 2567, 7701
The factors of 9771 are 1, 3, 3257, 9771
The HCF of 7701,9771 is 3.
Lets's calculate GCF of 7701,9771
| 3 | 7701, 9771 |
| 2567, 3257 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7701,9771 By Matching Biggest Common Factor Method
Now, list down the factors of 7701
:1,3,17,51,151,453,2567,7701
Now, list down the factors of 9771
:1,3,3257,9771
Greatest Common Factor
We found the factors 7701,9771 . The biggest common factor number is the GCF number.
So the greatest common factor 7701,9771 is 3.
Lets's calculate LCM of 903,2212
| 7 | 903, 2212 |
| 129, 316 |
∴ So the LCM of the given numbers is 7 x 129 x 316 = 285348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/285348
Therefore, the GCF of Fractions 7701/903,9771/2212 is 3/285348
Least Common Multiple of 903,2212 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 903,2212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,2212) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(903,2212) x common factors =7 x 1 = 7
LCM(903,2212) = ( 903 × 2212 ) / 7
LCM(903,2212) = 1997436 / 7
LCM(903,2212) = 285348
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FAQs on GCF of Fractions of 7701/903, 9771/2212
1. What is the HCF of 7701,9771?
The HCF of 7701,9771 is 3
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 7701/903, 9771/2212?
Answer: GCF of Numerators as per given numbers 7701/903, 9771/2212 is
GCF of Numerators i.e. for 7701,9771 is 3
LCM of denominators i.e. for 903,2212 is 285348.
Thus, GCF of Fractions is 3/285348.Finally, GCF of Fractions for 7701/903, 9771/2212 is 3/285348.