GCF of 9877/654, 8300/4724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9877/654, 8300/4724 i.e 83/1544748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9877/654, 8300/4724.
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 9877/654,8300/4724?
Given fractions are 9877/654,8300/4724
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 9877/654,8300/4724, numerators are 9877,8300
Denominators are 654,4724
The GCF of 9877,8300 is 83 .
LCM of 654,4724 is 1544748.
The greatest common factor of 9877/654,8300/4724 = [GCF of 9877,8300]/[LCM of 654,4724]= 83/1544748
Therefore, the GCF of 9877/654,8300/4724 is 83/1544748.
To find the highest common factor of 9877,8300, we have to find the factors of both numbers and list the highest common factor.
The factors of 9877 are 1, 7, 17, 83, 119, 581, 1411, 9877
The factors of 8300 are 1, 2, 4, 5, 10, 20, 25, 50, 83, 100, 166, 332, 415, 830, 1660, 2075, 4150, 8300
The HCF of 9877,8300 is 83.
Lets's calculate GCF of 9877,8300
| 83 | 9877, 8300 |
| 119, 100 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 9877,8300 By Matching Biggest Common Factor Method
Now, list down the factors of 9877
:1,7,17,83,119,581,1411,9877
Now, list down the factors of 8300
:1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300
Greatest Common Factor
We found the factors 9877,8300 . The biggest common factor number is the GCF number.
So the greatest common factor 9877,8300 is 83.
Lets's calculate LCM of 654,4724
| 2 | 654, 4724 |
| 327, 2362 |
∴ So the LCM of the given numbers is 2 x 327 x 2362 = 1544748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/1544748
Therefore, the GCF of Fractions 9877/654,8300/4724 is 83/1544748
Least Common Multiple of 654,4724 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 654,4724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,4724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,4724) x common factors =2 x 1 = 2
LCM(654,4724) = ( 654 × 4724 ) / 2
LCM(654,4724) = 3089496 / 2
LCM(654,4724) = 1544748
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FAQs on GCF of Fractions of 9877/654, 8300/4724
1. What is the HCF of 9877,8300?
The HCF of 9877,8300 is 83
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 9877/654, 8300/4724?
Answer: GCF of Numerators as per given numbers 9877/654, 8300/4724 is
GCF of Numerators i.e. for 9877,8300 is 83
LCM of denominators i.e. for 654,4724 is 1544748.
Thus, GCF of Fractions is 83/1544748.Finally, GCF of Fractions for 9877/654, 8300/4724 is 83/1544748.