GCF of 5907/531, 1230/7926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5907/531, 1230/7926 i.e 3/1402902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5907/531, 1230/7926.
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 5907/531,1230/7926?
Given fractions are 5907/531,1230/7926
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 5907/531,1230/7926, numerators are 5907,1230
Denominators are 531,7926
The GCF of 5907,1230 is 3 .
LCM of 531,7926 is 1402902.
The greatest common factor of 5907/531,1230/7926 = [GCF of 5907,1230]/[LCM of 531,7926]= 3/1402902
Therefore, the GCF of 5907/531,1230/7926 is 3/1402902.
To find the highest common factor of 5907,1230, we have to find the factors of both numbers and list the highest common factor.
The factors of 5907 are 1, 3, 11, 33, 179, 537, 1969, 5907
The factors of 1230 are 1, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230
The HCF of 5907,1230 is 3.
Lets's calculate GCF of 5907,1230
| 3 | 5907, 1230 |
| 1969, 410 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5907,1230 By Matching Biggest Common Factor Method
Now, list down the factors of 5907
:1,3,11,33,179,537,1969,5907
Now, list down the factors of 1230
:1,2,3,5,6,10,15,30,41,82,123,205,246,410,615,1230
Greatest Common Factor
We found the factors 5907,1230 . The biggest common factor number is the GCF number.
So the greatest common factor 5907,1230 is 3.
Lets's calculate LCM of 531,7926
| 3 | 531, 7926 |
| 177, 2642 |
∴ So the LCM of the given numbers is 3 x 177 x 2642 = 1402902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1402902
Therefore, the GCF of Fractions 5907/531,1230/7926 is 3/1402902
Least Common Multiple of 531,7926 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 531,7926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,7926) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(531,7926) x common factors =3 x 1 = 3
LCM(531,7926) = ( 531 × 7926 ) / 3
LCM(531,7926) = 4208706 / 3
LCM(531,7926) = 1402902
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FAQs on GCF of Fractions of 5907/531, 1230/7926
1. What is the HCF of 5907,1230?
The HCF of 5907,1230 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 5907/531, 1230/7926?
Answer: GCF of Numerators as per given numbers 5907/531, 1230/7926 is
GCF of Numerators i.e. for 5907,1230 is 3
LCM of denominators i.e. for 531,7926 is 1402902.
Thus, GCF of Fractions is 3/1402902.Finally, GCF of Fractions for 5907/531, 1230/7926 is 3/1402902.