GCF of 2676/225, 5527/8945
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2676/225, 5527/8945 i.e 1/402525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2676/225, 5527/8945.
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 2676/225,5527/8945?
Given fractions are 2676/225,5527/8945
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 2676/225,5527/8945, numerators are 2676,5527
Denominators are 225,8945
The GCF of 2676,5527 is 1 .
LCM of 225,8945 is 402525.
The greatest common factor of 2676/225,5527/8945 = [GCF of 2676,5527]/[LCM of 225,8945]= 1/402525
Therefore, the GCF of 2676/225,5527/8945 is 1/402525.
To find the highest common factor of 2676,5527, we have to find the factors of both numbers and list the highest common factor.
The factors of 2676 are 1, 2, 3, 4, 6, 12, 223, 446, 669, 892, 1338, 2676
The factors of 5527 are 1, 5527
The HCF of 2676,5527 is 1.
Lets's calculate GCF of 2676,5527
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2676,5527 By Matching Biggest Common Factor Method
Now, list down the factors of 2676
:1,2,3,4,6,12,223,446,669,892,1338,2676
Now, list down the factors of 5527
:1,5527
Greatest Common Factor
We found the factors 2676,5527 . The biggest common factor number is the GCF number.
So the greatest common factor 2676,5527 is 1.
Lets's calculate LCM of 225,8945
| 5 | 225, 8945 |
| 45, 1789 |
∴ So the LCM of the given numbers is 5 x 45 x 1789 = 402525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402525
Therefore, the GCF of Fractions 2676/225,5527/8945 is 1/402525
Least Common Multiple of 225,8945 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 225,8945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,8945) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(225,8945) x common factors =5 x 1 = 5
LCM(225,8945) = ( 225 × 8945 ) / 5
LCM(225,8945) = 2012625 / 5
LCM(225,8945) = 402525
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2676/225, 5527/8945
1. What is the HCF of 2676,5527?
The HCF of 2676,5527 is 1
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 2676/225, 5527/8945?
Answer: GCF of Numerators as per given numbers 2676/225, 5527/8945 is
GCF of Numerators i.e. for 2676,5527 is 1
LCM of denominators i.e. for 225,8945 is 402525.
Thus, GCF of Fractions is 1/402525.Finally, GCF of Fractions for 2676/225, 5527/8945 is 1/402525.