GCF of 402/866, 6117/7510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 402/866, 6117/7510 i.e 3/3251830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 402/866, 6117/7510.
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 402/866,6117/7510?
Given fractions are 402/866,6117/7510
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 402/866,6117/7510, numerators are 402,6117
Denominators are 866,7510
The GCF of 402,6117 is 3 .
LCM of 866,7510 is 3251830.
The greatest common factor of 402/866,6117/7510 = [GCF of 402,6117]/[LCM of 866,7510]= 3/3251830
Therefore, the GCF of 402/866,6117/7510 is 3/3251830.
To find the highest common factor of 402,6117, we have to find the factors of both numbers and list the highest common factor.
The factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402
The factors of 6117 are 1, 3, 2039, 6117
The HCF of 402,6117 is 3.
Lets's calculate GCF of 402,6117
| 3 | 402, 6117 |
| 134, 2039 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 402,6117 By Matching Biggest Common Factor Method
Now, list down the factors of 402
:1,2,3,6,67,134,201,402
Now, list down the factors of 6117
:1,3,2039,6117
Greatest Common Factor
We found the factors 402,6117 . The biggest common factor number is the GCF number.
So the greatest common factor 402,6117 is 3.
Lets's calculate LCM of 866,7510
| 2 | 866, 7510 |
| 433, 3755 |
∴ So the LCM of the given numbers is 2 x 433 x 3755 = 3251830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3251830
Therefore, the GCF of Fractions 402/866,6117/7510 is 3/3251830
Least Common Multiple of 866,7510 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 866,7510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,7510) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,7510) x common factors =2 x 1 = 2
LCM(866,7510) = ( 866 × 7510 ) / 2
LCM(866,7510) = 6503660 / 2
LCM(866,7510) = 3251830
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FAQs on GCF of Fractions of 402/866, 6117/7510
1. What is the HCF of 402,6117?
The HCF of 402,6117 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 402/866, 6117/7510?
Answer: GCF of Numerators as per given numbers 402/866, 6117/7510 is
GCF of Numerators i.e. for 402,6117 is 3
LCM of denominators i.e. for 866,7510 is 3251830.
Thus, GCF of Fractions is 3/3251830.Finally, GCF of Fractions for 402/866, 6117/7510 is 3/3251830.