GCF of 5379/781, 9658/2225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5379/781, 9658/2225 i.e 11/1737725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5379/781, 9658/2225.
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 5379/781,9658/2225?
Given fractions are 5379/781,9658/2225
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 5379/781,9658/2225, numerators are 5379,9658
Denominators are 781,2225
The GCF of 5379,9658 is 11 .
LCM of 781,2225 is 1737725.
The greatest common factor of 5379/781,9658/2225 = [GCF of 5379,9658]/[LCM of 781,2225]= 11/1737725
Therefore, the GCF of 5379/781,9658/2225 is 11/1737725.
To find the highest common factor of 5379,9658, we have to find the factors of both numbers and list the highest common factor.
The factors of 5379 are 1, 3, 11, 33, 163, 489, 1793, 5379
The factors of 9658 are 1, 2, 11, 22, 439, 878, 4829, 9658
The HCF of 5379,9658 is 11.
Lets's calculate GCF of 5379,9658
| 11 | 5379, 9658 |
| 489, 878 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5379,9658 By Matching Biggest Common Factor Method
Now, list down the factors of 5379
:1,3,11,33,163,489,1793,5379
Now, list down the factors of 9658
:1,2,11,22,439,878,4829,9658
Greatest Common Factor
We found the factors 5379,9658 . The biggest common factor number is the GCF number.
So the greatest common factor 5379,9658 is 11.
Lets's calculate LCM of 781,2225
Given numbers has no common factors except 1. So, there LCM is their product i.e 1737725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1737725
Therefore, the GCF of Fractions 5379/781,9658/2225 is 11/1737725
Least Common Multiple of 781,2225 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 781,2225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,2225) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,2225) x common factors =1 x 1 = 1
LCM(781,2225) = ( 781 × 2225 ) / 1
LCM(781,2225) = 1737725 / 1
LCM(781,2225) = 1737725
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FAQs on GCF of Fractions of 5379/781, 9658/2225
1. What is the HCF of 5379,9658?
The HCF of 5379,9658 is 11
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 5379/781, 9658/2225?
Answer: GCF of Numerators as per given numbers 5379/781, 9658/2225 is
GCF of Numerators i.e. for 5379,9658 is 11
LCM of denominators i.e. for 781,2225 is 1737725.
Thus, GCF of Fractions is 11/1737725.Finally, GCF of Fractions for 5379/781, 9658/2225 is 11/1737725.