GCF of 6237/707, 5497/1030
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6237/707, 5497/1030 i.e 1/728210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6237/707, 5497/1030.
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 6237/707,5497/1030?
Given fractions are 6237/707,5497/1030
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 6237/707,5497/1030, numerators are 6237,5497
Denominators are 707,1030
The GCF of 6237,5497 is 1 .
LCM of 707,1030 is 728210.
The greatest common factor of 6237/707,5497/1030 = [GCF of 6237,5497]/[LCM of 707,1030]= 1/728210
Therefore, the GCF of 6237/707,5497/1030 is 1/728210.
To find the highest common factor of 6237,5497, we have to find the factors of both numbers and list the highest common factor.
The factors of 6237 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 297, 567, 693, 891, 2079, 6237
The factors of 5497 are 1, 23, 239, 5497
The HCF of 6237,5497 is 1.
Lets's calculate GCF of 6237,5497
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6237,5497 By Matching Biggest Common Factor Method
Now, list down the factors of 6237
:1,3,7,9,11,21,27,33,63,77,81,99,189,231,297,567,693,891,2079,6237
Now, list down the factors of 5497
:1,23,239,5497
Greatest Common Factor
We found the factors 6237,5497 . The biggest common factor number is the GCF number.
So the greatest common factor 6237,5497 is 1.
Lets's calculate LCM of 707,1030
Given numbers has no common factors except 1. So, there LCM is their product i.e 728210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/728210
Therefore, the GCF of Fractions 6237/707,5497/1030 is 1/728210
Least Common Multiple of 707,1030 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 707,1030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,1030) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,1030) x common factors =1 x 1 = 1
LCM(707,1030) = ( 707 × 1030 ) / 1
LCM(707,1030) = 728210 / 1
LCM(707,1030) = 728210
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FAQs on GCF of Fractions of 6237/707, 5497/1030
1. What is the HCF of 6237,5497?
The HCF of 6237,5497 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 6237/707, 5497/1030?
Answer: GCF of Numerators as per given numbers 6237/707, 5497/1030 is
GCF of Numerators i.e. for 6237,5497 is 1
LCM of denominators i.e. for 707,1030 is 728210.
Thus, GCF of Fractions is 1/728210.Finally, GCF of Fractions for 6237/707, 5497/1030 is 1/728210.