GCF of 8645/709, 9290/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8645/709, 9290/922 i.e 5/653698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8645/709, 9290/922.
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 8645/709,9290/922?
Given fractions are 8645/709,9290/922
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 8645/709,9290/922, numerators are 8645,9290
Denominators are 709,922
The GCF of 8645,9290 is 5 .
LCM of 709,922 is 653698.
The greatest common factor of 8645/709,9290/922 = [GCF of 8645,9290]/[LCM of 709,922]= 5/653698
Therefore, the GCF of 8645/709,9290/922 is 5/653698.
To find the highest common factor of 8645,9290, we have to find the factors of both numbers and list the highest common factor.
The factors of 8645 are 1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645
The factors of 9290 are 1, 2, 5, 10, 929, 1858, 4645, 9290
The HCF of 8645,9290 is 5.
Lets's calculate GCF of 8645,9290
| 5 | 8645, 9290 |
| 1729, 1858 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8645,9290 By Matching Biggest Common Factor Method
Now, list down the factors of 8645
:1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645
Now, list down the factors of 9290
:1,2,5,10,929,1858,4645,9290
Greatest Common Factor
We found the factors 8645,9290 . The biggest common factor number is the GCF number.
So the greatest common factor 8645,9290 is 5.
Lets's calculate LCM of 709,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 653698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/653698
Therefore, the GCF of Fractions 8645/709,9290/922 is 5/653698
Least Common Multiple of 709,922 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 709,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,922) x common factors =1 x 1 = 1
LCM(709,922) = ( 709 × 922 ) / 1
LCM(709,922) = 653698 / 1
LCM(709,922) = 653698
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FAQs on GCF of Fractions of 8645/709, 9290/922
1. What is the HCF of 8645,9290?
The HCF of 8645,9290 is 5
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 8645/709, 9290/922?
Answer: GCF of Numerators as per given numbers 8645/709, 9290/922 is
GCF of Numerators i.e. for 8645,9290 is 5
LCM of denominators i.e. for 709,922 is 653698.
Thus, GCF of Fractions is 5/653698.Finally, GCF of Fractions for 8645/709, 9290/922 is 5/653698.