GCF of 6853/630, 1521/3148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6853/630, 1521/3148 i.e 1/991620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6853/630, 1521/3148.
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 6853/630,1521/3148?
Given fractions are 6853/630,1521/3148
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 6853/630,1521/3148, numerators are 6853,1521
Denominators are 630,3148
The GCF of 6853,1521 is 1 .
LCM of 630,3148 is 991620.
The greatest common factor of 6853/630,1521/3148 = [GCF of 6853,1521]/[LCM of 630,3148]= 1/991620
Therefore, the GCF of 6853/630,1521/3148 is 1/991620.
To find the highest common factor of 6853,1521, we have to find the factors of both numbers and list the highest common factor.
The factors of 6853 are 1, 7, 11, 77, 89, 623, 979, 6853
The factors of 1521 are 1, 3, 9, 13, 39, 117, 169, 507, 1521
The HCF of 6853,1521 is 1.
Lets's calculate GCF of 6853,1521
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6853,1521 By Matching Biggest Common Factor Method
Now, list down the factors of 6853
:1,7,11,77,89,623,979,6853
Now, list down the factors of 1521
:1,3,9,13,39,117,169,507,1521
Greatest Common Factor
We found the factors 6853,1521 . The biggest common factor number is the GCF number.
So the greatest common factor 6853,1521 is 1.
Lets's calculate LCM of 630,3148
| 2 | 630, 3148 |
| 315, 1574 |
∴ So the LCM of the given numbers is 2 x 315 x 1574 = 991620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/991620
Therefore, the GCF of Fractions 6853/630,1521/3148 is 1/991620
Least Common Multiple of 630,3148 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 630,3148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,3148) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(630,3148) x common factors =2 x 1 = 2
LCM(630,3148) = ( 630 × 3148 ) / 2
LCM(630,3148) = 1983240 / 2
LCM(630,3148) = 991620
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FAQs on GCF of Fractions of 6853/630, 1521/3148
1. What is the HCF of 6853,1521?
The HCF of 6853,1521 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 6853/630, 1521/3148?
Answer: GCF of Numerators as per given numbers 6853/630, 1521/3148 is
GCF of Numerators i.e. for 6853,1521 is 1
LCM of denominators i.e. for 630,3148 is 991620.
Thus, GCF of Fractions is 1/991620.Finally, GCF of Fractions for 6853/630, 1521/3148 is 1/991620.