GCF of 2775/633, 4325/8715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2775/633, 4325/8715 i.e 25/1838865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2775/633, 4325/8715.
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 2775/633,4325/8715?
Given fractions are 2775/633,4325/8715
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 2775/633,4325/8715, numerators are 2775,4325
Denominators are 633,8715
The GCF of 2775,4325 is 25 .
LCM of 633,8715 is 1838865.
The greatest common factor of 2775/633,4325/8715 = [GCF of 2775,4325]/[LCM of 633,8715]= 25/1838865
Therefore, the GCF of 2775/633,4325/8715 is 25/1838865.
To find the highest common factor of 2775,4325, we have to find the factors of both numbers and list the highest common factor.
The factors of 2775 are 1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775
The factors of 4325 are 1, 5, 25, 173, 865, 4325
The HCF of 2775,4325 is 25.
Lets's calculate GCF of 2775,4325
| 5 | 2775, 4325 |
| 5 | 555, 865 |
| 111, 173 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 2775,4325 By Matching Biggest Common Factor Method
Now, list down the factors of 2775
:1,3,5,15,25,37,75,111,185,555,925,2775
Now, list down the factors of 4325
:1,5,25,173,865,4325
Greatest Common Factor
We found the factors 2775,4325 . The biggest common factor number is the GCF number.
So the greatest common factor 2775,4325 is 25.
Lets's calculate LCM of 633,8715
| 3 | 633, 8715 |
| 211, 2905 |
∴ So the LCM of the given numbers is 3 x 211 x 2905 = 1838865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1838865
Therefore, the GCF of Fractions 2775/633,4325/8715 is 25/1838865
Least Common Multiple of 633,8715 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 633,8715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,8715) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(633,8715) x common factors =3 x 1 = 3
LCM(633,8715) = ( 633 × 8715 ) / 3
LCM(633,8715) = 5516595 / 3
LCM(633,8715) = 1838865
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FAQs on GCF of Fractions of 2775/633, 4325/8715
1. What is the HCF of 2775,4325?
The HCF of 2775,4325 is 25
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 2775/633, 4325/8715?
Answer: GCF of Numerators as per given numbers 2775/633, 4325/8715 is
GCF of Numerators i.e. for 2775,4325 is 25
LCM of denominators i.e. for 633,8715 is 1838865.
Thus, GCF of Fractions is 25/1838865.Finally, GCF of Fractions for 2775/633, 4325/8715 is 25/1838865.