GCF of 9464/876, 3783/1776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9464/876, 3783/1776 i.e 13/129648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9464/876, 3783/1776.
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 9464/876,3783/1776?
Given fractions are 9464/876,3783/1776
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 9464/876,3783/1776, numerators are 9464,3783
Denominators are 876,1776
The GCF of 9464,3783 is 13 .
LCM of 876,1776 is 129648.
The greatest common factor of 9464/876,3783/1776 = [GCF of 9464,3783]/[LCM of 876,1776]= 13/129648
Therefore, the GCF of 9464/876,3783/1776 is 13/129648.
To find the highest common factor of 9464,3783, we have to find the factors of both numbers and list the highest common factor.
The factors of 9464 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464
The factors of 3783 are 1, 3, 13, 39, 97, 291, 1261, 3783
The HCF of 9464,3783 is 13.
Lets's calculate GCF of 9464,3783
| 13 | 9464, 3783 |
| 728, 291 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9464,3783 By Matching Biggest Common Factor Method
Now, list down the factors of 9464
:1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464
Now, list down the factors of 3783
:1,3,13,39,97,291,1261,3783
Greatest Common Factor
We found the factors 9464,3783 . The biggest common factor number is the GCF number.
So the greatest common factor 9464,3783 is 13.
Lets's calculate LCM of 876,1776
| 2 | 876, 1776 |
| 2 | 438, 888 |
| 3 | 219, 444 |
| 73, 148 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 73 x 148 = 129648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/129648
Therefore, the GCF of Fractions 9464/876,3783/1776 is 13/129648
Least Common Multiple of 876,1776 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 876,1776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,1776) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(876,1776) x common factors =12 x 1 = 12
LCM(876,1776) = ( 876 × 1776 ) / 12
LCM(876,1776) = 1555776 / 12
LCM(876,1776) = 129648
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FAQs on GCF of Fractions of 9464/876, 3783/1776
1. What is the HCF of 9464,3783?
The HCF of 9464,3783 is 13
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 9464/876, 3783/1776?
Answer: GCF of Numerators as per given numbers 9464/876, 3783/1776 is
GCF of Numerators i.e. for 9464,3783 is 13
LCM of denominators i.e. for 876,1776 is 129648.
Thus, GCF of Fractions is 13/129648.Finally, GCF of Fractions for 9464/876, 3783/1776 is 13/129648.