GCF of 1034/974, 5455/8844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1034/974, 5455/8844 i.e 1/4307028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1034/974, 5455/8844.
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 1034/974,5455/8844?
Given fractions are 1034/974,5455/8844
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 1034/974,5455/8844, numerators are 1034,5455
Denominators are 974,8844
The GCF of 1034,5455 is 1 .
LCM of 974,8844 is 4307028.
The greatest common factor of 1034/974,5455/8844 = [GCF of 1034,5455]/[LCM of 974,8844]= 1/4307028
Therefore, the GCF of 1034/974,5455/8844 is 1/4307028.
To find the highest common factor of 1034,5455, we have to find the factors of both numbers and list the highest common factor.
The factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034
The factors of 5455 are 1, 5, 1091, 5455
The HCF of 1034,5455 is 1.
Lets's calculate GCF of 1034,5455
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1034,5455 By Matching Biggest Common Factor Method
Now, list down the factors of 1034
:1,2,11,22,47,94,517,1034
Now, list down the factors of 5455
:1,5,1091,5455
Greatest Common Factor
We found the factors 1034,5455 . The biggest common factor number is the GCF number.
So the greatest common factor 1034,5455 is 1.
Lets's calculate LCM of 974,8844
| 2 | 974, 8844 |
| 487, 4422 |
∴ So the LCM of the given numbers is 2 x 487 x 4422 = 4307028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4307028
Therefore, the GCF of Fractions 1034/974,5455/8844 is 1/4307028
Least Common Multiple of 974,8844 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 974,8844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,8844) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,8844) x common factors =2 x 1 = 2
LCM(974,8844) = ( 974 × 8844 ) / 2
LCM(974,8844) = 8614056 / 2
LCM(974,8844) = 4307028
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1034/974, 5455/8844
1. What is the HCF of 1034,5455?
The HCF of 1034,5455 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 1034/974, 5455/8844?
Answer: GCF of Numerators as per given numbers 1034/974, 5455/8844 is
GCF of Numerators i.e. for 1034,5455 is 1
LCM of denominators i.e. for 974,8844 is 4307028.
Thus, GCF of Fractions is 1/4307028.Finally, GCF of Fractions for 1034/974, 5455/8844 is 1/4307028.