GCF of 7410/657, 8922/745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7410/657, 8922/745 i.e 6/489465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7410/657, 8922/745.
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 7410/657,8922/745?
Given fractions are 7410/657,8922/745
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 7410/657,8922/745, numerators are 7410,8922
Denominators are 657,745
The GCF of 7410,8922 is 6 .
LCM of 657,745 is 489465.
The greatest common factor of 7410/657,8922/745 = [GCF of 7410,8922]/[LCM of 657,745]= 6/489465
Therefore, the GCF of 7410/657,8922/745 is 6/489465.
To find the highest common factor of 7410,8922, we have to find the factors of both numbers and list the highest common factor.
The factors of 7410 are 1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705, 7410
The factors of 8922 are 1, 2, 3, 6, 1487, 2974, 4461, 8922
The HCF of 7410,8922 is 6.
Lets's calculate GCF of 7410,8922
| 2 | 7410, 8922 |
| 3 | 3705, 4461 |
| 1235, 1487 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7410,8922 By Matching Biggest Common Factor Method
Now, list down the factors of 7410
:1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410
Now, list down the factors of 8922
:1,2,3,6,1487,2974,4461,8922
Greatest Common Factor
We found the factors 7410,8922 . The biggest common factor number is the GCF number.
So the greatest common factor 7410,8922 is 6.
Lets's calculate LCM of 657,745
Given numbers has no common factors except 1. So, there LCM is their product i.e 489465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/489465
Therefore, the GCF of Fractions 7410/657,8922/745 is 6/489465
Least Common Multiple of 657,745 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 657,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,745) x common factors =1 x 1 = 1
LCM(657,745) = ( 657 × 745 ) / 1
LCM(657,745) = 489465 / 1
LCM(657,745) = 489465
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FAQs on GCF of Fractions of 7410/657, 8922/745
1. What is the HCF of 7410,8922?
The HCF of 7410,8922 is 6
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 7410/657, 8922/745?
Answer: GCF of Numerators as per given numbers 7410/657, 8922/745 is
GCF of Numerators i.e. for 7410,8922 is 6
LCM of denominators i.e. for 657,745 is 489465.
Thus, GCF of Fractions is 6/489465.Finally, GCF of Fractions for 7410/657, 8922/745 is 6/489465.