GCF of 1014/500, 7761/6787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1014/500, 7761/6787 i.e 39/3393500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1014/500, 7761/6787.
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 1014/500,7761/6787?
Given fractions are 1014/500,7761/6787
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 1014/500,7761/6787, numerators are 1014,7761
Denominators are 500,6787
The GCF of 1014,7761 is 39 .
LCM of 500,6787 is 3393500.
The greatest common factor of 1014/500,7761/6787 = [GCF of 1014,7761]/[LCM of 500,6787]= 39/3393500
Therefore, the GCF of 1014/500,7761/6787 is 39/3393500.
To find the highest common factor of 1014,7761, we have to find the factors of both numbers and list the highest common factor.
The factors of 1014 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014
The factors of 7761 are 1, 3, 13, 39, 199, 597, 2587, 7761
The HCF of 1014,7761 is 39.
Lets's calculate GCF of 1014,7761
| 3 | 1014, 7761 |
| 13 | 338, 2587 |
| 26, 199 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 1014,7761 By Matching Biggest Common Factor Method
Now, list down the factors of 1014
:1,2,3,6,13,26,39,78,169,338,507,1014
Now, list down the factors of 7761
:1,3,13,39,199,597,2587,7761
Greatest Common Factor
We found the factors 1014,7761 . The biggest common factor number is the GCF number.
So the greatest common factor 1014,7761 is 39.
Lets's calculate LCM of 500,6787
Given numbers has no common factors except 1. So, there LCM is their product i.e 3393500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/3393500
Therefore, the GCF of Fractions 1014/500,7761/6787 is 39/3393500
Least Common Multiple of 500,6787 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 500,6787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,6787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,6787) x common factors =1 x 1 = 1
LCM(500,6787) = ( 500 × 6787 ) / 1
LCM(500,6787) = 3393500 / 1
LCM(500,6787) = 3393500
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FAQs on GCF of Fractions of 1014/500, 7761/6787
1. What is the HCF of 1014,7761?
The HCF of 1014,7761 is 39
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 1014/500, 7761/6787?
Answer: GCF of Numerators as per given numbers 1014/500, 7761/6787 is
GCF of Numerators i.e. for 1014,7761 is 39
LCM of denominators i.e. for 500,6787 is 3393500.
Thus, GCF of Fractions is 39/3393500.Finally, GCF of Fractions for 1014/500, 7761/6787 is 39/3393500.