GCF of 1263/690, 3921/6207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1263/690, 3921/6207 i.e 3/1427610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1263/690, 3921/6207.
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 1263/690,3921/6207?
Given fractions are 1263/690,3921/6207
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 1263/690,3921/6207, numerators are 1263,3921
Denominators are 690,6207
The GCF of 1263,3921 is 3 .
LCM of 690,6207 is 1427610.
The greatest common factor of 1263/690,3921/6207 = [GCF of 1263,3921]/[LCM of 690,6207]= 3/1427610
Therefore, the GCF of 1263/690,3921/6207 is 3/1427610.
To find the highest common factor of 1263,3921, we have to find the factors of both numbers and list the highest common factor.
The factors of 1263 are 1, 3, 421, 1263
The factors of 3921 are 1, 3, 1307, 3921
The HCF of 1263,3921 is 3.
Lets's calculate GCF of 1263,3921
| 3 | 1263, 3921 |
| 421, 1307 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1263,3921 By Matching Biggest Common Factor Method
Now, list down the factors of 1263
:1,3,421,1263
Now, list down the factors of 3921
:1,3,1307,3921
Greatest Common Factor
We found the factors 1263,3921 . The biggest common factor number is the GCF number.
So the greatest common factor 1263,3921 is 3.
Lets's calculate LCM of 690,6207
| 3 | 690, 6207 |
| 230, 2069 |
∴ So the LCM of the given numbers is 3 x 230 x 2069 = 1427610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1427610
Therefore, the GCF of Fractions 1263/690,3921/6207 is 3/1427610
Least Common Multiple of 690,6207 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 690,6207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,6207) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(690,6207) x common factors =3 x 1 = 3
LCM(690,6207) = ( 690 × 6207 ) / 3
LCM(690,6207) = 4282830 / 3
LCM(690,6207) = 1427610
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FAQs on GCF of Fractions of 1263/690, 3921/6207
1. What is the HCF of 1263,3921?
The HCF of 1263,3921 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 1263/690, 3921/6207?
Answer: GCF of Numerators as per given numbers 1263/690, 3921/6207 is
GCF of Numerators i.e. for 1263,3921 is 3
LCM of denominators i.e. for 690,6207 is 1427610.
Thus, GCF of Fractions is 3/1427610.Finally, GCF of Fractions for 1263/690, 3921/6207 is 3/1427610.