GCF of 6703/574, 1197/8876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6703/574, 1197/8876 i.e 1/363916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6703/574, 1197/8876.
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 6703/574,1197/8876?
Given fractions are 6703/574,1197/8876
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 6703/574,1197/8876, numerators are 6703,1197
Denominators are 574,8876
The GCF of 6703,1197 is 1 .
LCM of 574,8876 is 363916.
The greatest common factor of 6703/574,1197/8876 = [GCF of 6703,1197]/[LCM of 574,8876]= 1/363916
Therefore, the GCF of 6703/574,1197/8876 is 1/363916.
To find the highest common factor of 6703,1197, we have to find the factors of both numbers and list the highest common factor.
The factors of 6703 are 1, 6703
The factors of 1197 are 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197
The HCF of 6703,1197 is 1.
Lets's calculate GCF of 6703,1197
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6703,1197 By Matching Biggest Common Factor Method
Now, list down the factors of 6703
:1,6703
Now, list down the factors of 1197
:1,3,7,9,19,21,57,63,133,171,399,1197
Greatest Common Factor
We found the factors 6703,1197 . The biggest common factor number is the GCF number.
So the greatest common factor 6703,1197 is 1.
Lets's calculate LCM of 574,8876
| 2 | 574, 8876 |
| 7 | 287, 4438 |
| 41, 634 |
∴ So the LCM of the given numbers is 2 x 7 x 41 x 634 = 363916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/363916
Therefore, the GCF of Fractions 6703/574,1197/8876 is 1/363916
Least Common Multiple of 574,8876 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 574,8876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,8876) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(574,8876) x common factors =14 x 1 = 14
LCM(574,8876) = ( 574 × 8876 ) / 14
LCM(574,8876) = 5094824 / 14
LCM(574,8876) = 363916
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FAQs on GCF of Fractions of 6703/574, 1197/8876
1. What is the HCF of 6703,1197?
The HCF of 6703,1197 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 6703/574, 1197/8876?
Answer: GCF of Numerators as per given numbers 6703/574, 1197/8876 is
GCF of Numerators i.e. for 6703,1197 is 1
LCM of denominators i.e. for 574,8876 is 363916.
Thus, GCF of Fractions is 1/363916.Finally, GCF of Fractions for 6703/574, 1197/8876 is 1/363916.