GCF of 2102/784, 2363/2948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2102/784, 2363/2948 i.e 1/577808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2102/784, 2363/2948.
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 2102/784,2363/2948?
Given fractions are 2102/784,2363/2948
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 2102/784,2363/2948, numerators are 2102,2363
Denominators are 784,2948
The GCF of 2102,2363 is 1 .
LCM of 784,2948 is 577808.
The greatest common factor of 2102/784,2363/2948 = [GCF of 2102,2363]/[LCM of 784,2948]= 1/577808
Therefore, the GCF of 2102/784,2363/2948 is 1/577808.
To find the highest common factor of 2102,2363, we have to find the factors of both numbers and list the highest common factor.
The factors of 2102 are 1, 2, 1051, 2102
The factors of 2363 are 1, 17, 139, 2363
The HCF of 2102,2363 is 1.
Lets's calculate GCF of 2102,2363
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2102,2363 By Matching Biggest Common Factor Method
Now, list down the factors of 2102
:1,2,1051,2102
Now, list down the factors of 2363
:1,17,139,2363
Greatest Common Factor
We found the factors 2102,2363 . The biggest common factor number is the GCF number.
So the greatest common factor 2102,2363 is 1.
Lets's calculate LCM of 784,2948
| 2 | 784, 2948 |
| 2 | 392, 1474 |
| 196, 737 |
∴ So the LCM of the given numbers is 2 x 2 x 196 x 737 = 577808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/577808
Therefore, the GCF of Fractions 2102/784,2363/2948 is 1/577808
Least Common Multiple of 784,2948 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 784,2948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,2948) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(784,2948) x common factors =4 x 1 = 4
LCM(784,2948) = ( 784 × 2948 ) / 4
LCM(784,2948) = 2311232 / 4
LCM(784,2948) = 577808
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FAQs on GCF of Fractions of 2102/784, 2363/2948
1. What is the HCF of 2102,2363?
The HCF of 2102,2363 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 2102/784, 2363/2948?
Answer: GCF of Numerators as per given numbers 2102/784, 2363/2948 is
GCF of Numerators i.e. for 2102,2363 is 1
LCM of denominators i.e. for 784,2948 is 577808.
Thus, GCF of Fractions is 1/577808.Finally, GCF of Fractions for 2102/784, 2363/2948 is 1/577808.