GCF of 3622/658, 7251/8204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3622/658, 7251/8204 i.e 1/385588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3622/658, 7251/8204.
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 3622/658,7251/8204?
Given fractions are 3622/658,7251/8204
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 3622/658,7251/8204, numerators are 3622,7251
Denominators are 658,8204
The GCF of 3622,7251 is 1 .
LCM of 658,8204 is 385588.
The greatest common factor of 3622/658,7251/8204 = [GCF of 3622,7251]/[LCM of 658,8204]= 1/385588
Therefore, the GCF of 3622/658,7251/8204 is 1/385588.
To find the highest common factor of 3622,7251, we have to find the factors of both numbers and list the highest common factor.
The factors of 3622 are 1, 2, 1811, 3622
The factors of 7251 are 1, 3, 2417, 7251
The HCF of 3622,7251 is 1.
Lets's calculate GCF of 3622,7251
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3622,7251 By Matching Biggest Common Factor Method
Now, list down the factors of 3622
:1,2,1811,3622
Now, list down the factors of 7251
:1,3,2417,7251
Greatest Common Factor
We found the factors 3622,7251 . The biggest common factor number is the GCF number.
So the greatest common factor 3622,7251 is 1.
Lets's calculate LCM of 658,8204
| 2 | 658, 8204 |
| 7 | 329, 4102 |
| 47, 586 |
∴ So the LCM of the given numbers is 2 x 7 x 47 x 586 = 385588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385588
Therefore, the GCF of Fractions 3622/658,7251/8204 is 1/385588
Least Common Multiple of 658,8204 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 658,8204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,8204) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(658,8204) x common factors =14 x 1 = 14
LCM(658,8204) = ( 658 × 8204 ) / 14
LCM(658,8204) = 5398232 / 14
LCM(658,8204) = 385588
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FAQs on GCF of Fractions of 3622/658, 7251/8204
1. What is the HCF of 3622,7251?
The HCF of 3622,7251 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 3622/658, 7251/8204?
Answer: GCF of Numerators as per given numbers 3622/658, 7251/8204 is
GCF of Numerators i.e. for 3622,7251 is 1
LCM of denominators i.e. for 658,8204 is 385588.
Thus, GCF of Fractions is 1/385588.Finally, GCF of Fractions for 3622/658, 7251/8204 is 1/385588.