GCF of 7730/460, 2771/2165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7730/460, 2771/2165 i.e 1/199180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7730/460, 2771/2165.
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 7730/460,2771/2165?
Given fractions are 7730/460,2771/2165
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 7730/460,2771/2165, numerators are 7730,2771
Denominators are 460,2165
The GCF of 7730,2771 is 1 .
LCM of 460,2165 is 199180.
The greatest common factor of 7730/460,2771/2165 = [GCF of 7730,2771]/[LCM of 460,2165]= 1/199180
Therefore, the GCF of 7730/460,2771/2165 is 1/199180.
To find the highest common factor of 7730,2771, we have to find the factors of both numbers and list the highest common factor.
The factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730
The factors of 2771 are 1, 17, 163, 2771
The HCF of 7730,2771 is 1.
Lets's calculate GCF of 7730,2771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7730,2771 By Matching Biggest Common Factor Method
Now, list down the factors of 7730
:1,2,5,10,773,1546,3865,7730
Now, list down the factors of 2771
:1,17,163,2771
Greatest Common Factor
We found the factors 7730,2771 . The biggest common factor number is the GCF number.
So the greatest common factor 7730,2771 is 1.
Lets's calculate LCM of 460,2165
| 5 | 460, 2165 |
| 92, 433 |
∴ So the LCM of the given numbers is 5 x 92 x 433 = 199180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199180
Therefore, the GCF of Fractions 7730/460,2771/2165 is 1/199180
Least Common Multiple of 460,2165 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 460,2165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,2165) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(460,2165) x common factors =5 x 1 = 5
LCM(460,2165) = ( 460 × 2165 ) / 5
LCM(460,2165) = 995900 / 5
LCM(460,2165) = 199180
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FAQs on GCF of Fractions of 7730/460, 2771/2165
1. What is the HCF of 7730,2771?
The HCF of 7730,2771 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 7730/460, 2771/2165?
Answer: GCF of Numerators as per given numbers 7730/460, 2771/2165 is
GCF of Numerators i.e. for 7730,2771 is 1
LCM of denominators i.e. for 460,2165 is 199180.
Thus, GCF of Fractions is 1/199180.Finally, GCF of Fractions for 7730/460, 2771/2165 is 1/199180.