GCF of 7203/429, 2779/8100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7203/429, 2779/8100 i.e 7/1158300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7203/429, 2779/8100.
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 7203/429,2779/8100?
Given fractions are 7203/429,2779/8100
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 7203/429,2779/8100, numerators are 7203,2779
Denominators are 429,8100
The GCF of 7203,2779 is 7 .
LCM of 429,8100 is 1158300.
The greatest common factor of 7203/429,2779/8100 = [GCF of 7203,2779]/[LCM of 429,8100]= 7/1158300
Therefore, the GCF of 7203/429,2779/8100 is 7/1158300.
To find the highest common factor of 7203,2779, we have to find the factors of both numbers and list the highest common factor.
The factors of 7203 are 1, 3, 7, 21, 49, 147, 343, 1029, 2401, 7203
The factors of 2779 are 1, 7, 397, 2779
The HCF of 7203,2779 is 7.
Lets's calculate GCF of 7203,2779
| 7 | 7203, 2779 |
| 1029, 397 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7203,2779 By Matching Biggest Common Factor Method
Now, list down the factors of 7203
:1,3,7,21,49,147,343,1029,2401,7203
Now, list down the factors of 2779
:1,7,397,2779
Greatest Common Factor
We found the factors 7203,2779 . The biggest common factor number is the GCF number.
So the greatest common factor 7203,2779 is 7.
Lets's calculate LCM of 429,8100
| 3 | 429, 8100 |
| 143, 2700 |
∴ So the LCM of the given numbers is 3 x 143 x 2700 = 1158300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1158300
Therefore, the GCF of Fractions 7203/429,2779/8100 is 7/1158300
Least Common Multiple of 429,8100 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 429,8100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,8100) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(429,8100) x common factors =3 x 1 = 3
LCM(429,8100) = ( 429 × 8100 ) / 3
LCM(429,8100) = 3474900 / 3
LCM(429,8100) = 1158300
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FAQs on GCF of Fractions of 7203/429, 2779/8100
1. What is the HCF of 7203,2779?
The HCF of 7203,2779 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 7203/429, 2779/8100?
Answer: GCF of Numerators as per given numbers 7203/429, 2779/8100 is
GCF of Numerators i.e. for 7203,2779 is 7
LCM of denominators i.e. for 429,8100 is 1158300.
Thus, GCF of Fractions is 7/1158300.Finally, GCF of Fractions for 7203/429, 2779/8100 is 7/1158300.