GCF of 6937/744, 8288/4145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6937/744, 8288/4145 i.e 7/3083880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6937/744, 8288/4145.
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 6937/744,8288/4145?
Given fractions are 6937/744,8288/4145
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 6937/744,8288/4145, numerators are 6937,8288
Denominators are 744,4145
The GCF of 6937,8288 is 7 .
LCM of 744,4145 is 3083880.
The greatest common factor of 6937/744,8288/4145 = [GCF of 6937,8288]/[LCM of 744,4145]= 7/3083880
Therefore, the GCF of 6937/744,8288/4145 is 7/3083880.
To find the highest common factor of 6937,8288, 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 8288 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 74, 112, 148, 224, 259, 296, 518, 592, 1036, 1184, 2072, 4144, 8288
The HCF of 6937,8288 is 7.
Lets's calculate GCF of 6937,8288
| 7 | 6937, 8288 |
| 991, 1184 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6937,8288 By Matching Biggest Common Factor Method
Now, list down the factors of 6937
:1,7,991,6937
Now, list down the factors of 8288
:1,2,4,7,8,14,16,28,32,37,56,74,112,148,224,259,296,518,592,1036,1184,2072,4144,8288
Greatest Common Factor
We found the factors 6937,8288 . The biggest common factor number is the GCF number.
So the greatest common factor 6937,8288 is 7.
Lets's calculate LCM of 744,4145
Given numbers has no common factors except 1. So, there LCM is their product i.e 3083880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3083880
Therefore, the GCF of Fractions 6937/744,8288/4145 is 7/3083880
Least Common Multiple of 744,4145 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 744,4145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,4145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(744,4145) x common factors =1 x 1 = 1
LCM(744,4145) = ( 744 × 4145 ) / 1
LCM(744,4145) = 3083880 / 1
LCM(744,4145) = 3083880
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6937/744, 8288/4145
1. What is the HCF of 6937,8288?
The HCF of 6937,8288 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 6937/744, 8288/4145?
Answer: GCF of Numerators as per given numbers 6937/744, 8288/4145 is
GCF of Numerators i.e. for 6937,8288 is 7
LCM of denominators i.e. for 744,4145 is 3083880.
Thus, GCF of Fractions is 7/3083880.Finally, GCF of Fractions for 6937/744, 8288/4145 is 7/3083880.