GCF of 5626/856, 3886/9222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5626/856, 3886/9222 i.e 58/3947016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5626/856, 3886/9222.
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 5626/856,3886/9222?
Given fractions are 5626/856,3886/9222
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 5626/856,3886/9222, numerators are 5626,3886
Denominators are 856,9222
The GCF of 5626,3886 is 58 .
LCM of 856,9222 is 3947016.
The greatest common factor of 5626/856,3886/9222 = [GCF of 5626,3886]/[LCM of 856,9222]= 58/3947016
Therefore, the GCF of 5626/856,3886/9222 is 58/3947016.
To find the highest common factor of 5626,3886, we have to find the factors of both numbers and list the highest common factor.
The factors of 5626 are 1, 2, 29, 58, 97, 194, 2813, 5626
The factors of 3886 are 1, 2, 29, 58, 67, 134, 1943, 3886
The HCF of 5626,3886 is 58.
Lets's calculate GCF of 5626,3886
| 2 | 5626, 3886 |
| 29 | 2813, 1943 |
| 97, 67 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 5626,3886 By Matching Biggest Common Factor Method
Now, list down the factors of 5626
:1,2,29,58,97,194,2813,5626
Now, list down the factors of 3886
:1,2,29,58,67,134,1943,3886
Greatest Common Factor
We found the factors 5626,3886 . The biggest common factor number is the GCF number.
So the greatest common factor 5626,3886 is 58.
Lets's calculate LCM of 856,9222
| 2 | 856, 9222 |
| 428, 4611 |
∴ So the LCM of the given numbers is 2 x 428 x 4611 = 3947016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/3947016
Therefore, the GCF of Fractions 5626/856,3886/9222 is 58/3947016
Least Common Multiple of 856,9222 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 856,9222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,9222) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(856,9222) x common factors =2 x 1 = 2
LCM(856,9222) = ( 856 × 9222 ) / 2
LCM(856,9222) = 7894032 / 2
LCM(856,9222) = 3947016
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FAQs on GCF of Fractions of 5626/856, 3886/9222
1. What is the HCF of 5626,3886?
The HCF of 5626,3886 is 58
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 5626/856, 3886/9222?
Answer: GCF of Numerators as per given numbers 5626/856, 3886/9222 is
GCF of Numerators i.e. for 5626,3886 is 58
LCM of denominators i.e. for 856,9222 is 3947016.
Thus, GCF of Fractions is 58/3947016.Finally, GCF of Fractions for 5626/856, 3886/9222 is 58/3947016.