GCF of 2779/573, 9275/4204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2779/573, 9275/4204 i.e 7/2408892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2779/573, 9275/4204.
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 2779/573,9275/4204?
Given fractions are 2779/573,9275/4204
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 2779/573,9275/4204, numerators are 2779,9275
Denominators are 573,4204
The GCF of 2779,9275 is 7 .
LCM of 573,4204 is 2408892.
The greatest common factor of 2779/573,9275/4204 = [GCF of 2779,9275]/[LCM of 573,4204]= 7/2408892
Therefore, the GCF of 2779/573,9275/4204 is 7/2408892.
To find the highest common factor of 2779,9275, we have to find the factors of both numbers and list the highest common factor.
The factors of 2779 are 1, 7, 397, 2779
The factors of 9275 are 1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855, 9275
The HCF of 2779,9275 is 7.
Lets's calculate GCF of 2779,9275
| 7 | 2779, 9275 |
| 397, 1325 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2779,9275 By Matching Biggest Common Factor Method
Now, list down the factors of 2779
:1,7,397,2779
Now, list down the factors of 9275
:1,5,7,25,35,53,175,265,371,1325,1855,9275
Greatest Common Factor
We found the factors 2779,9275 . The biggest common factor number is the GCF number.
So the greatest common factor 2779,9275 is 7.
Lets's calculate LCM of 573,4204
Given numbers has no common factors except 1. So, there LCM is their product i.e 2408892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2408892
Therefore, the GCF of Fractions 2779/573,9275/4204 is 7/2408892
Least Common Multiple of 573,4204 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 573,4204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,4204) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(573,4204) x common factors =1 x 1 = 1
LCM(573,4204) = ( 573 × 4204 ) / 1
LCM(573,4204) = 2408892 / 1
LCM(573,4204) = 2408892
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FAQs on GCF of Fractions of 2779/573, 9275/4204
1. What is the HCF of 2779,9275?
The HCF of 2779,9275 is 7
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 2779/573, 9275/4204?
Answer: GCF of Numerators as per given numbers 2779/573, 9275/4204 is
GCF of Numerators i.e. for 2779,9275 is 7
LCM of denominators i.e. for 573,4204 is 2408892.
Thus, GCF of Fractions is 7/2408892.Finally, GCF of Fractions for 2779/573, 9275/4204 is 7/2408892.