GCF of 2761/675, 2574/4765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2761/675, 2574/4765 i.e 11/643275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2761/675, 2574/4765.
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 2761/675,2574/4765?
Given fractions are 2761/675,2574/4765
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 2761/675,2574/4765, numerators are 2761,2574
Denominators are 675,4765
The GCF of 2761,2574 is 11 .
LCM of 675,4765 is 643275.
The greatest common factor of 2761/675,2574/4765 = [GCF of 2761,2574]/[LCM of 675,4765]= 11/643275
Therefore, the GCF of 2761/675,2574/4765 is 11/643275.
To find the highest common factor of 2761,2574, we have to find the factors of both numbers and list the highest common factor.
The factors of 2761 are 1, 11, 251, 2761
The factors of 2574 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287, 2574
The HCF of 2761,2574 is 11.
Lets's calculate GCF of 2761,2574
| 11 | 2761, 2574 |
| 251, 234 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2761,2574 By Matching Biggest Common Factor Method
Now, list down the factors of 2761
:1,11,251,2761
Now, list down the factors of 2574
:1,2,3,6,9,11,13,18,22,26,33,39,66,78,99,117,143,198,234,286,429,858,1287,2574
Greatest Common Factor
We found the factors 2761,2574 . The biggest common factor number is the GCF number.
So the greatest common factor 2761,2574 is 11.
Lets's calculate LCM of 675,4765
| 5 | 675, 4765 |
| 135, 953 |
∴ So the LCM of the given numbers is 5 x 135 x 953 = 643275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/643275
Therefore, the GCF of Fractions 2761/675,2574/4765 is 11/643275
Least Common Multiple of 675,4765 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 675,4765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,4765) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(675,4765) x common factors =5 x 1 = 5
LCM(675,4765) = ( 675 × 4765 ) / 5
LCM(675,4765) = 3216375 / 5
LCM(675,4765) = 643275
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2761/675, 2574/4765
1. What is the HCF of 2761,2574?
The HCF of 2761,2574 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 2761/675, 2574/4765?
Answer: GCF of Numerators as per given numbers 2761/675, 2574/4765 is
GCF of Numerators i.e. for 2761,2574 is 11
LCM of denominators i.e. for 675,4765 is 643275.
Thus, GCF of Fractions is 11/643275.Finally, GCF of Fractions for 2761/675, 2574/4765 is 11/643275.