GCF of 4685/822, 5825/964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4685/822, 5825/964 i.e 5/396204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4685/822, 5825/964.
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 4685/822,5825/964?
Given fractions are 4685/822,5825/964
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 4685/822,5825/964, numerators are 4685,5825
Denominators are 822,964
The GCF of 4685,5825 is 5 .
LCM of 822,964 is 396204.
The greatest common factor of 4685/822,5825/964 = [GCF of 4685,5825]/[LCM of 822,964]= 5/396204
Therefore, the GCF of 4685/822,5825/964 is 5/396204.
To find the highest common factor of 4685,5825, we have to find the factors of both numbers and list the highest common factor.
The factors of 4685 are 1, 5, 937, 4685
The factors of 5825 are 1, 5, 25, 233, 1165, 5825
The HCF of 4685,5825 is 5.
Lets's calculate GCF of 4685,5825
| 5 | 4685, 5825 |
| 937, 1165 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4685,5825 By Matching Biggest Common Factor Method
Now, list down the factors of 4685
:1,5,937,4685
Now, list down the factors of 5825
:1,5,25,233,1165,5825
Greatest Common Factor
We found the factors 4685,5825 . The biggest common factor number is the GCF number.
So the greatest common factor 4685,5825 is 5.
Lets's calculate LCM of 822,964
| 2 | 822, 964 |
| 411, 482 |
∴ So the LCM of the given numbers is 2 x 411 x 482 = 396204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/396204
Therefore, the GCF of Fractions 4685/822,5825/964 is 5/396204
Least Common Multiple of 822,964 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 822,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,964) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,964) x common factors =2 x 1 = 2
LCM(822,964) = ( 822 × 964 ) / 2
LCM(822,964) = 792408 / 2
LCM(822,964) = 396204
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FAQs on GCF of Fractions of 4685/822, 5825/964
1. What is the HCF of 4685,5825?
The HCF of 4685,5825 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 4685/822, 5825/964?
Answer: GCF of Numerators as per given numbers 4685/822, 5825/964 is
GCF of Numerators i.e. for 4685,5825 is 5
LCM of denominators i.e. for 822,964 is 396204.
Thus, GCF of Fractions is 5/396204.Finally, GCF of Fractions for 4685/822, 5825/964 is 5/396204.