GCF of 6261/698, 6630/7983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6261/698, 6630/7983 i.e 3/5572134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6261/698, 6630/7983.
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 6261/698,6630/7983?
Given fractions are 6261/698,6630/7983
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 6261/698,6630/7983, numerators are 6261,6630
Denominators are 698,7983
The GCF of 6261,6630 is 3 .
LCM of 698,7983 is 5572134.
The greatest common factor of 6261/698,6630/7983 = [GCF of 6261,6630]/[LCM of 698,7983]= 3/5572134
Therefore, the GCF of 6261/698,6630/7983 is 3/5572134.
To find the highest common factor of 6261,6630, we have to find the factors of both numbers and list the highest common factor.
The factors of 6261 are 1, 3, 2087, 6261
The factors of 6630 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630
The HCF of 6261,6630 is 3.
Lets's calculate GCF of 6261,6630
| 3 | 6261, 6630 |
| 2087, 2210 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6261,6630 By Matching Biggest Common Factor Method
Now, list down the factors of 6261
:1,3,2087,6261
Now, list down the factors of 6630
:1,2,3,5,6,10,13,15,17,26,30,34,39,51,65,78,85,102,130,170,195,221,255,390,442,510,663,1105,1326,2210,3315,6630
Greatest Common Factor
We found the factors 6261,6630 . The biggest common factor number is the GCF number.
So the greatest common factor 6261,6630 is 3.
Lets's calculate LCM of 698,7983
Given numbers has no common factors except 1. So, there LCM is their product i.e 5572134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5572134
Therefore, the GCF of Fractions 6261/698,6630/7983 is 3/5572134
Least Common Multiple of 698,7983 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 698,7983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,7983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(698,7983) x common factors =1 x 1 = 1
LCM(698,7983) = ( 698 × 7983 ) / 1
LCM(698,7983) = 5572134 / 1
LCM(698,7983) = 5572134
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FAQs on GCF of Fractions of 6261/698, 6630/7983
1. What is the HCF of 6261,6630?
The HCF of 6261,6630 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 6261/698, 6630/7983?
Answer: GCF of Numerators as per given numbers 6261/698, 6630/7983 is
GCF of Numerators i.e. for 6261,6630 is 3
LCM of denominators i.e. for 698,7983 is 5572134.
Thus, GCF of Fractions is 3/5572134.Finally, GCF of Fractions for 6261/698, 6630/7983 is 3/5572134.