GCF of 4025/294, 6322/526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4025/294, 6322/526 i.e 1/77322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4025/294, 6322/526.
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 4025/294,6322/526?
Given fractions are 4025/294,6322/526
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 4025/294,6322/526, numerators are 4025,6322
Denominators are 294,526
The GCF of 4025,6322 is 1 .
LCM of 294,526 is 77322.
The greatest common factor of 4025/294,6322/526 = [GCF of 4025,6322]/[LCM of 294,526]= 1/77322
Therefore, the GCF of 4025/294,6322/526 is 1/77322.
To find the highest common factor of 4025,6322, we have to find the factors of both numbers and list the highest common factor.
The factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025
The factors of 6322 are 1, 2, 29, 58, 109, 218, 3161, 6322
The HCF of 4025,6322 is 1.
Lets's calculate GCF of 4025,6322
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4025,6322 By Matching Biggest Common Factor Method
Now, list down the factors of 4025
:1,5,7,23,25,35,115,161,175,575,805,4025
Now, list down the factors of 6322
:1,2,29,58,109,218,3161,6322
Greatest Common Factor
We found the factors 4025,6322 . The biggest common factor number is the GCF number.
So the greatest common factor 4025,6322 is 1.
Lets's calculate LCM of 294,526
| 2 | 294, 526 |
| 147, 263 |
∴ So the LCM of the given numbers is 2 x 147 x 263 = 77322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77322
Therefore, the GCF of Fractions 4025/294,6322/526 is 1/77322
Least Common Multiple of 294,526 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 294,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,526) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(294,526) x common factors =2 x 1 = 2
LCM(294,526) = ( 294 × 526 ) / 2
LCM(294,526) = 154644 / 2
LCM(294,526) = 77322
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4025/294, 6322/526
1. What is the HCF of 4025,6322?
The HCF of 4025,6322 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 4025/294, 6322/526?
Answer: GCF of Numerators as per given numbers 4025/294, 6322/526 is
GCF of Numerators i.e. for 4025,6322 is 1
LCM of denominators i.e. for 294,526 is 77322.
Thus, GCF of Fractions is 1/77322.Finally, GCF of Fractions for 4025/294, 6322/526 is 1/77322.