GCF of 6422/918, 8924/3718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6422/918, 8924/3718 i.e 2/1706562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6422/918, 8924/3718.
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 6422/918,8924/3718?
Given fractions are 6422/918,8924/3718
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 6422/918,8924/3718, numerators are 6422,8924
Denominators are 918,3718
The GCF of 6422,8924 is 2 .
LCM of 918,3718 is 1706562.
The greatest common factor of 6422/918,8924/3718 = [GCF of 6422,8924]/[LCM of 918,3718]= 2/1706562
Therefore, the GCF of 6422/918,8924/3718 is 2/1706562.
To find the highest common factor of 6422,8924, we have to find the factors of both numbers and list the highest common factor.
The factors of 6422 are 1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422
The factors of 8924 are 1, 2, 4, 23, 46, 92, 97, 194, 388, 2231, 4462, 8924
The HCF of 6422,8924 is 2.
Lets's calculate GCF of 6422,8924
| 2 | 6422, 8924 |
| 3211, 4462 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6422,8924 By Matching Biggest Common Factor Method
Now, list down the factors of 6422
:1,2,13,19,26,38,169,247,338,494,3211,6422
Now, list down the factors of 8924
:1,2,4,23,46,92,97,194,388,2231,4462,8924
Greatest Common Factor
We found the factors 6422,8924 . The biggest common factor number is the GCF number.
So the greatest common factor 6422,8924 is 2.
Lets's calculate LCM of 918,3718
| 2 | 918, 3718 |
| 459, 1859 |
∴ So the LCM of the given numbers is 2 x 459 x 1859 = 1706562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1706562
Therefore, the GCF of Fractions 6422/918,8924/3718 is 2/1706562
Least Common Multiple of 918,3718 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 918,3718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,3718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(918,3718) x common factors =2 x 1 = 2
LCM(918,3718) = ( 918 × 3718 ) / 2
LCM(918,3718) = 3413124 / 2
LCM(918,3718) = 1706562
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FAQs on GCF of Fractions of 6422/918, 8924/3718
1. What is the HCF of 6422,8924?
The HCF of 6422,8924 is 2
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 6422/918, 8924/3718?
Answer: GCF of Numerators as per given numbers 6422/918, 8924/3718 is
GCF of Numerators i.e. for 6422,8924 is 2
LCM of denominators i.e. for 918,3718 is 1706562.
Thus, GCF of Fractions is 2/1706562.Finally, GCF of Fractions for 6422/918, 8924/3718 is 2/1706562.