GCF of 7767/457, 7710/1051
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7767/457, 7710/1051 i.e 3/480307 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7767/457, 7710/1051.
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 7767/457,7710/1051?
Given fractions are 7767/457,7710/1051
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 7767/457,7710/1051, numerators are 7767,7710
Denominators are 457,1051
The GCF of 7767,7710 is 3 .
LCM of 457,1051 is 480307.
The greatest common factor of 7767/457,7710/1051 = [GCF of 7767,7710]/[LCM of 457,1051]= 3/480307
Therefore, the GCF of 7767/457,7710/1051 is 3/480307.
To find the highest common factor of 7767,7710, we have to find the factors of both numbers and list the highest common factor.
The factors of 7767 are 1, 3, 9, 863, 2589, 7767
The factors of 7710 are 1, 2, 3, 5, 6, 10, 15, 30, 257, 514, 771, 1285, 1542, 2570, 3855, 7710
The HCF of 7767,7710 is 3.
Lets's calculate GCF of 7767,7710
| 3 | 7767, 7710 |
| 2589, 2570 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7767,7710 By Matching Biggest Common Factor Method
Now, list down the factors of 7767
:1,3,9,863,2589,7767
Now, list down the factors of 7710
:1,2,3,5,6,10,15,30,257,514,771,1285,1542,2570,3855,7710
Greatest Common Factor
We found the factors 7767,7710 . The biggest common factor number is the GCF number.
So the greatest common factor 7767,7710 is 3.
Lets's calculate LCM of 457,1051
Given numbers has no common factors except 1. So, there LCM is their product i.e 480307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/480307
Therefore, the GCF of Fractions 7767/457,7710/1051 is 3/480307
Least Common Multiple of 457,1051 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 457,1051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,1051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,1051) x common factors =1 x 1 = 1
LCM(457,1051) = ( 457 × 1051 ) / 1
LCM(457,1051) = 480307 / 1
LCM(457,1051) = 480307
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FAQs on GCF of Fractions of 7767/457, 7710/1051
1. What is the HCF of 7767,7710?
The HCF of 7767,7710 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 7767/457, 7710/1051?
Answer: GCF of Numerators as per given numbers 7767/457, 7710/1051 is
GCF of Numerators i.e. for 7767,7710 is 3
LCM of denominators i.e. for 457,1051 is 480307.
Thus, GCF of Fractions is 3/480307.Finally, GCF of Fractions for 7767/457, 7710/1051 is 3/480307.