GCF of 6937/820, 1589/5837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6937/820, 1589/5837 i.e 7/4786340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6937/820, 1589/5837.
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 6937/820,1589/5837?
Given fractions are 6937/820,1589/5837
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 6937/820,1589/5837, numerators are 6937,1589
Denominators are 820,5837
The GCF of 6937,1589 is 7 .
LCM of 820,5837 is 4786340.
The greatest common factor of 6937/820,1589/5837 = [GCF of 6937,1589]/[LCM of 820,5837]= 7/4786340
Therefore, the GCF of 6937/820,1589/5837 is 7/4786340.
To find the highest common factor of 6937,1589, we have to find the factors of both numbers and list the highest common factor.
The factors of 6937 are 1, 7, 991, 6937
The factors of 1589 are 1, 7, 227, 1589
The HCF of 6937,1589 is 7.
Lets's calculate GCF of 6937,1589
| 7 | 6937, 1589 |
| 991, 227 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6937,1589 By Matching Biggest Common Factor Method
Now, list down the factors of 6937
:1,7,991,6937
Now, list down the factors of 1589
:1,7,227,1589
Greatest Common Factor
We found the factors 6937,1589 . The biggest common factor number is the GCF number.
So the greatest common factor 6937,1589 is 7.
Lets's calculate LCM of 820,5837
Given numbers has no common factors except 1. So, there LCM is their product i.e 4786340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4786340
Therefore, the GCF of Fractions 6937/820,1589/5837 is 7/4786340
Least Common Multiple of 820,5837 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 820,5837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,5837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(820,5837) x common factors =1 x 1 = 1
LCM(820,5837) = ( 820 × 5837 ) / 1
LCM(820,5837) = 4786340 / 1
LCM(820,5837) = 4786340
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FAQs on GCF of Fractions of 6937/820, 1589/5837
1. What is the HCF of 6937,1589?
The HCF of 6937,1589 is 7
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 6937/820, 1589/5837?
Answer: GCF of Numerators as per given numbers 6937/820, 1589/5837 is
GCF of Numerators i.e. for 6937,1589 is 7
LCM of denominators i.e. for 820,5837 is 4786340.
Thus, GCF of Fractions is 7/4786340.Finally, GCF of Fractions for 6937/820, 1589/5837 is 7/4786340.