GCF of 9679/630, 7403/8220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9679/630, 7403/8220 i.e 1/172620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9679/630, 7403/8220.
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 9679/630,7403/8220?
Given fractions are 9679/630,7403/8220
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 9679/630,7403/8220, numerators are 9679,7403
Denominators are 630,8220
The GCF of 9679,7403 is 1 .
LCM of 630,8220 is 172620.
The greatest common factor of 9679/630,7403/8220 = [GCF of 9679,7403]/[LCM of 630,8220]= 1/172620
Therefore, the GCF of 9679/630,7403/8220 is 1/172620.
To find the highest common factor of 9679,7403, we have to find the factors of both numbers and list the highest common factor.
The factors of 9679 are 1, 9679
The factors of 7403 are 1, 11, 673, 7403
The HCF of 9679,7403 is 1.
Lets's calculate GCF of 9679,7403
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9679,7403 By Matching Biggest Common Factor Method
Now, list down the factors of 9679
:1,9679
Now, list down the factors of 7403
:1,11,673,7403
Greatest Common Factor
We found the factors 9679,7403 . The biggest common factor number is the GCF number.
So the greatest common factor 9679,7403 is 1.
Lets's calculate LCM of 630,8220
| 2 | 630, 8220 |
| 3 | 315, 4110 |
| 5 | 105, 1370 |
| 21, 274 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 21 x 274 = 172620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172620
Therefore, the GCF of Fractions 9679/630,7403/8220 is 1/172620
Least Common Multiple of 630,8220 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 630,8220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,8220) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(630,8220) x common factors =30 x 1 = 30
LCM(630,8220) = ( 630 × 8220 ) / 30
LCM(630,8220) = 5178600 / 30
LCM(630,8220) = 172620
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9679/630, 7403/8220
1. What is the HCF of 9679,7403?
The HCF of 9679,7403 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 9679/630, 7403/8220?
Answer: GCF of Numerators as per given numbers 9679/630, 7403/8220 is
GCF of Numerators i.e. for 9679,7403 is 1
LCM of denominators i.e. for 630,8220 is 172620.
Thus, GCF of Fractions is 1/172620.Finally, GCF of Fractions for 9679/630, 7403/8220 is 1/172620.