GCF of 9210/652, 1673/526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9210/652, 1673/526 i.e 1/171476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9210/652, 1673/526.
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 9210/652,1673/526?
Given fractions are 9210/652,1673/526
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 9210/652,1673/526, numerators are 9210,1673
Denominators are 652,526
The GCF of 9210,1673 is 1 .
LCM of 652,526 is 171476.
The greatest common factor of 9210/652,1673/526 = [GCF of 9210,1673]/[LCM of 652,526]= 1/171476
Therefore, the GCF of 9210/652,1673/526 is 1/171476.
To find the highest common factor of 9210,1673, we have to find the factors of both numbers and list the highest common factor.
The factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210
The factors of 1673 are 1, 7, 239, 1673
The HCF of 9210,1673 is 1.
Lets's calculate GCF of 9210,1673
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9210,1673 By Matching Biggest Common Factor Method
Now, list down the factors of 9210
:1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210
Now, list down the factors of 1673
:1,7,239,1673
Greatest Common Factor
We found the factors 9210,1673 . The biggest common factor number is the GCF number.
So the greatest common factor 9210,1673 is 1.
Lets's calculate LCM of 652,526
| 2 | 652, 526 |
| 326, 263 |
∴ So the LCM of the given numbers is 2 x 326 x 263 = 171476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171476
Therefore, the GCF of Fractions 9210/652,1673/526 is 1/171476
Least Common Multiple of 652,526 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 652,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,526) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(652,526) x common factors =2 x 1 = 2
LCM(652,526) = ( 652 × 526 ) / 2
LCM(652,526) = 342952 / 2
LCM(652,526) = 171476
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FAQs on GCF of Fractions of 9210/652, 1673/526
1. What is the HCF of 9210,1673?
The HCF of 9210,1673 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 9210/652, 1673/526?
Answer: GCF of Numerators as per given numbers 9210/652, 1673/526 is
GCF of Numerators i.e. for 9210,1673 is 1
LCM of denominators i.e. for 652,526 is 171476.
Thus, GCF of Fractions is 1/171476.Finally, GCF of Fractions for 9210/652, 1673/526 is 1/171476.