GCF of 6937/977, 6229/2915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6937/977, 6229/2915 i.e 1/2847955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6937/977, 6229/2915.
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 6937/977,6229/2915?
Given fractions are 6937/977,6229/2915
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 6937/977,6229/2915, numerators are 6937,6229
Denominators are 977,2915
The GCF of 6937,6229 is 1 .
LCM of 977,2915 is 2847955.
The greatest common factor of 6937/977,6229/2915 = [GCF of 6937,6229]/[LCM of 977,2915]= 1/2847955
Therefore, the GCF of 6937/977,6229/2915 is 1/2847955.
To find the highest common factor of 6937,6229, 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 6229 are 1, 6229
The HCF of 6937,6229 is 1.
Lets's calculate GCF of 6937,6229
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6937,6229 By Matching Biggest Common Factor Method
Now, list down the factors of 6937
:1,7,991,6937
Now, list down the factors of 6229
:1,6229
Greatest Common Factor
We found the factors 6937,6229 . The biggest common factor number is the GCF number.
So the greatest common factor 6937,6229 is 1.
Lets's calculate LCM of 977,2915
Given numbers has no common factors except 1. So, there LCM is their product i.e 2847955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2847955
Therefore, the GCF of Fractions 6937/977,6229/2915 is 1/2847955
Least Common Multiple of 977,2915 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 977,2915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,2915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,2915) x common factors =1 x 1 = 1
LCM(977,2915) = ( 977 × 2915 ) / 1
LCM(977,2915) = 2847955 / 1
LCM(977,2915) = 2847955
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6937/977, 6229/2915
1. What is the HCF of 6937,6229?
The HCF of 6937,6229 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 6937/977, 6229/2915?
Answer: GCF of Numerators as per given numbers 6937/977, 6229/2915 is
GCF of Numerators i.e. for 6937,6229 is 1
LCM of denominators i.e. for 977,2915 is 2847955.
Thus, GCF of Fractions is 1/2847955.Finally, GCF of Fractions for 6937/977, 6229/2915 is 1/2847955.