GCF of 6326/634, 9301/9698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6326/634, 9301/9698 i.e 1/3074266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6326/634, 9301/9698.
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 6326/634,9301/9698?
Given fractions are 6326/634,9301/9698
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 6326/634,9301/9698, numerators are 6326,9301
Denominators are 634,9698
The GCF of 6326,9301 is 1 .
LCM of 634,9698 is 3074266.
The greatest common factor of 6326/634,9301/9698 = [GCF of 6326,9301]/[LCM of 634,9698]= 1/3074266
Therefore, the GCF of 6326/634,9301/9698 is 1/3074266.
To find the highest common factor of 6326,9301, we have to find the factors of both numbers and list the highest common factor.
The factors of 6326 are 1, 2, 3163, 6326
The factors of 9301 are 1, 71, 131, 9301
The HCF of 6326,9301 is 1.
Lets's calculate GCF of 6326,9301
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6326,9301 By Matching Biggest Common Factor Method
Now, list down the factors of 6326
:1,2,3163,6326
Now, list down the factors of 9301
:1,71,131,9301
Greatest Common Factor
We found the factors 6326,9301 . The biggest common factor number is the GCF number.
So the greatest common factor 6326,9301 is 1.
Lets's calculate LCM of 634,9698
| 2 | 634, 9698 |
| 317, 4849 |
∴ So the LCM of the given numbers is 2 x 317 x 4849 = 3074266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3074266
Therefore, the GCF of Fractions 6326/634,9301/9698 is 1/3074266
Least Common Multiple of 634,9698 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 634,9698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,9698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,9698) x common factors =2 x 1 = 2
LCM(634,9698) = ( 634 × 9698 ) / 2
LCM(634,9698) = 6148532 / 2
LCM(634,9698) = 3074266
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FAQs on GCF of Fractions of 6326/634, 9301/9698
1. What is the HCF of 6326,9301?
The HCF of 6326,9301 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 6326/634, 9301/9698?
Answer: GCF of Numerators as per given numbers 6326/634, 9301/9698 is
GCF of Numerators i.e. for 6326,9301 is 1
LCM of denominators i.e. for 634,9698 is 3074266.
Thus, GCF of Fractions is 1/3074266.Finally, GCF of Fractions for 6326/634, 9301/9698 is 1/3074266.