GCF of 5937/680, 6282/1890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5937/680, 6282/1890 i.e 3/128520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5937/680, 6282/1890.
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 5937/680,6282/1890?
Given fractions are 5937/680,6282/1890
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 5937/680,6282/1890, numerators are 5937,6282
Denominators are 680,1890
The GCF of 5937,6282 is 3 .
LCM of 680,1890 is 128520.
The greatest common factor of 5937/680,6282/1890 = [GCF of 5937,6282]/[LCM of 680,1890]= 3/128520
Therefore, the GCF of 5937/680,6282/1890 is 3/128520.
To find the highest common factor of 5937,6282, we have to find the factors of both numbers and list the highest common factor.
The factors of 5937 are 1, 3, 1979, 5937
The factors of 6282 are 1, 2, 3, 6, 9, 18, 349, 698, 1047, 2094, 3141, 6282
The HCF of 5937,6282 is 3.
Lets's calculate GCF of 5937,6282
| 3 | 5937, 6282 |
| 1979, 2094 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5937,6282 By Matching Biggest Common Factor Method
Now, list down the factors of 5937
:1,3,1979,5937
Now, list down the factors of 6282
:1,2,3,6,9,18,349,698,1047,2094,3141,6282
Greatest Common Factor
We found the factors 5937,6282 . The biggest common factor number is the GCF number.
So the greatest common factor 5937,6282 is 3.
Lets's calculate LCM of 680,1890
| 2 | 680, 1890 |
| 5 | 340, 945 |
| 68, 189 |
∴ So the LCM of the given numbers is 2 x 5 x 68 x 189 = 128520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/128520
Therefore, the GCF of Fractions 5937/680,6282/1890 is 3/128520
Least Common Multiple of 680,1890 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 680,1890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,1890) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(680,1890) x common factors =10 x 1 = 10
LCM(680,1890) = ( 680 × 1890 ) / 10
LCM(680,1890) = 1285200 / 10
LCM(680,1890) = 128520
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5937/680, 6282/1890
1. What is the HCF of 5937,6282?
The HCF of 5937,6282 is 3
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 5937/680, 6282/1890?
Answer: GCF of Numerators as per given numbers 5937/680, 6282/1890 is
GCF of Numerators i.e. for 5937,6282 is 3
LCM of denominators i.e. for 680,1890 is 128520.
Thus, GCF of Fractions is 3/128520.Finally, GCF of Fractions for 5937/680, 6282/1890 is 3/128520.