GCF of 2755/552, 7205/1545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2755/552, 7205/1545 i.e 5/284280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2755/552, 7205/1545.
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 2755/552,7205/1545?
Given fractions are 2755/552,7205/1545
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 2755/552,7205/1545, numerators are 2755,7205
Denominators are 552,1545
The GCF of 2755,7205 is 5 .
LCM of 552,1545 is 284280.
The greatest common factor of 2755/552,7205/1545 = [GCF of 2755,7205]/[LCM of 552,1545]= 5/284280
Therefore, the GCF of 2755/552,7205/1545 is 5/284280.
To find the highest common factor of 2755,7205, we have to find the factors of both numbers and list the highest common factor.
The factors of 2755 are 1, 5, 19, 29, 95, 145, 551, 2755
The factors of 7205 are 1, 5, 11, 55, 131, 655, 1441, 7205
The HCF of 2755,7205 is 5.
Lets's calculate GCF of 2755,7205
| 5 | 2755, 7205 |
| 551, 1441 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2755,7205 By Matching Biggest Common Factor Method
Now, list down the factors of 2755
:1,5,19,29,95,145,551,2755
Now, list down the factors of 7205
:1,5,11,55,131,655,1441,7205
Greatest Common Factor
We found the factors 2755,7205 . The biggest common factor number is the GCF number.
So the greatest common factor 2755,7205 is 5.
Lets's calculate LCM of 552,1545
| 3 | 552, 1545 |
| 184, 515 |
∴ So the LCM of the given numbers is 3 x 184 x 515 = 284280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/284280
Therefore, the GCF of Fractions 2755/552,7205/1545 is 5/284280
Least Common Multiple of 552,1545 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 552,1545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,1545) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(552,1545) x common factors =3 x 1 = 3
LCM(552,1545) = ( 552 × 1545 ) / 3
LCM(552,1545) = 852840 / 3
LCM(552,1545) = 284280
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FAQs on GCF of Fractions of 2755/552, 7205/1545
1. What is the HCF of 2755,7205?
The HCF of 2755,7205 is 5
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 2755/552, 7205/1545?
Answer: GCF of Numerators as per given numbers 2755/552, 7205/1545 is
GCF of Numerators i.e. for 2755,7205 is 5
LCM of denominators i.e. for 552,1545 is 284280.
Thus, GCF of Fractions is 5/284280.Finally, GCF of Fractions for 2755/552, 7205/1545 is 5/284280.