GCF of 7766/850, 4959/314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7766/850, 4959/314 i.e 1/133450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7766/850, 4959/314.
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 7766/850,4959/314?
Given fractions are 7766/850,4959/314
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 7766/850,4959/314, numerators are 7766,4959
Denominators are 850,314
The GCF of 7766,4959 is 1 .
LCM of 850,314 is 133450.
The greatest common factor of 7766/850,4959/314 = [GCF of 7766,4959]/[LCM of 850,314]= 1/133450
Therefore, the GCF of 7766/850,4959/314 is 1/133450.
To find the highest common factor of 7766,4959, we have to find the factors of both numbers and list the highest common factor.
The factors of 7766 are 1, 2, 11, 22, 353, 706, 3883, 7766
The factors of 4959 are 1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653, 4959
The HCF of 7766,4959 is 1.
Lets's calculate GCF of 7766,4959
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7766,4959 By Matching Biggest Common Factor Method
Now, list down the factors of 7766
:1,2,11,22,353,706,3883,7766
Now, list down the factors of 4959
:1,3,9,19,29,57,87,171,261,551,1653,4959
Greatest Common Factor
We found the factors 7766,4959 . The biggest common factor number is the GCF number.
So the greatest common factor 7766,4959 is 1.
Lets's calculate LCM of 850,314
| 2 | 850, 314 |
| 425, 157 |
∴ So the LCM of the given numbers is 2 x 425 x 157 = 133450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133450
Therefore, the GCF of Fractions 7766/850,4959/314 is 1/133450
Least Common Multiple of 850,314 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 850,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(850,314) x common factors =2 x 1 = 2
LCM(850,314) = ( 850 × 314 ) / 2
LCM(850,314) = 266900 / 2
LCM(850,314) = 133450
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FAQs on GCF of Fractions of 7766/850, 4959/314
1. What is the HCF of 7766,4959?
The HCF of 7766,4959 is 1
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 7766/850, 4959/314?
Answer: GCF of Numerators as per given numbers 7766/850, 4959/314 is
GCF of Numerators i.e. for 7766,4959 is 1
LCM of denominators i.e. for 850,314 is 133450.
Thus, GCF of Fractions is 1/133450.Finally, GCF of Fractions for 7766/850, 4959/314 is 1/133450.