GCF of 2764/784, 2074/1807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2764/784, 2074/1807 i.e 2/1416688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2764/784, 2074/1807.
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 2764/784,2074/1807?
Given fractions are 2764/784,2074/1807
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 2764/784,2074/1807, numerators are 2764,2074
Denominators are 784,1807
The GCF of 2764,2074 is 2 .
LCM of 784,1807 is 1416688.
The greatest common factor of 2764/784,2074/1807 = [GCF of 2764,2074]/[LCM of 784,1807]= 2/1416688
Therefore, the GCF of 2764/784,2074/1807 is 2/1416688.
To find the highest common factor of 2764,2074, we have to find the factors of both numbers and list the highest common factor.
The factors of 2764 are 1, 2, 4, 691, 1382, 2764
The factors of 2074 are 1, 2, 17, 34, 61, 122, 1037, 2074
The HCF of 2764,2074 is 2.
Lets's calculate GCF of 2764,2074
| 2 | 2764, 2074 |
| 1382, 1037 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2764,2074 By Matching Biggest Common Factor Method
Now, list down the factors of 2764
:1,2,4,691,1382,2764
Now, list down the factors of 2074
:1,2,17,34,61,122,1037,2074
Greatest Common Factor
We found the factors 2764,2074 . The biggest common factor number is the GCF number.
So the greatest common factor 2764,2074 is 2.
Lets's calculate LCM of 784,1807
Given numbers has no common factors except 1. So, there LCM is their product i.e 1416688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1416688
Therefore, the GCF of Fractions 2764/784,2074/1807 is 2/1416688
Least Common Multiple of 784,1807 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 784,1807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,1807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,1807) x common factors =1 x 1 = 1
LCM(784,1807) = ( 784 × 1807 ) / 1
LCM(784,1807) = 1416688 / 1
LCM(784,1807) = 1416688
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FAQs on GCF of Fractions of 2764/784, 2074/1807
1. What is the HCF of 2764,2074?
The HCF of 2764,2074 is 2
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 2764/784, 2074/1807?
Answer: GCF of Numerators as per given numbers 2764/784, 2074/1807 is
GCF of Numerators i.e. for 2764,2074 is 2
LCM of denominators i.e. for 784,1807 is 1416688.
Thus, GCF of Fractions is 2/1416688.Finally, GCF of Fractions for 2764/784, 2074/1807 is 2/1416688.