GCF of 8874/420, 6766/7753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8874/420, 6766/7753 i.e 34/3256260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8874/420, 6766/7753.
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 8874/420,6766/7753?
Given fractions are 8874/420,6766/7753
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 8874/420,6766/7753, numerators are 8874,6766
Denominators are 420,7753
The GCF of 8874,6766 is 34 .
LCM of 420,7753 is 3256260.
The greatest common factor of 8874/420,6766/7753 = [GCF of 8874,6766]/[LCM of 420,7753]= 34/3256260
Therefore, the GCF of 8874/420,6766/7753 is 34/3256260.
To find the highest common factor of 8874,6766, we have to find the factors of both numbers and list the highest common factor.
The factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874
The factors of 6766 are 1, 2, 17, 34, 199, 398, 3383, 6766
The HCF of 8874,6766 is 34.
Lets's calculate GCF of 8874,6766
| 2 | 8874, 6766 |
| 17 | 4437, 3383 |
| 261, 199 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 8874,6766 By Matching Biggest Common Factor Method
Now, list down the factors of 8874
:1,2,3,6,9,17,18,29,34,51,58,87,102,153,174,261,306,493,522,986,1479,2958,4437,8874
Now, list down the factors of 6766
:1,2,17,34,199,398,3383,6766
Greatest Common Factor
We found the factors 8874,6766 . The biggest common factor number is the GCF number.
So the greatest common factor 8874,6766 is 34.
Lets's calculate LCM of 420,7753
Given numbers has no common factors except 1. So, there LCM is their product i.e 3256260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/3256260
Therefore, the GCF of Fractions 8874/420,6766/7753 is 34/3256260
Least Common Multiple of 420,7753 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 420,7753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,7753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,7753) x common factors =1 x 1 = 1
LCM(420,7753) = ( 420 × 7753 ) / 1
LCM(420,7753) = 3256260 / 1
LCM(420,7753) = 3256260
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FAQs on GCF of Fractions of 8874/420, 6766/7753
1. What is the HCF of 8874,6766?
The HCF of 8874,6766 is 34
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 8874/420, 6766/7753?
Answer: GCF of Numerators as per given numbers 8874/420, 6766/7753 is
GCF of Numerators i.e. for 8874,6766 is 34
LCM of denominators i.e. for 420,7753 is 3256260.
Thus, GCF of Fractions is 34/3256260.Finally, GCF of Fractions for 8874/420, 6766/7753 is 34/3256260.