GCF of 7062/756, 9574/6416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7062/756, 9574/6416 i.e 2/1212624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7062/756, 9574/6416.
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 7062/756,9574/6416?
Given fractions are 7062/756,9574/6416
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 7062/756,9574/6416, numerators are 7062,9574
Denominators are 756,6416
The GCF of 7062,9574 is 2 .
LCM of 756,6416 is 1212624.
The greatest common factor of 7062/756,9574/6416 = [GCF of 7062,9574]/[LCM of 756,6416]= 2/1212624
Therefore, the GCF of 7062/756,9574/6416 is 2/1212624.
To find the highest common factor of 7062,9574, we have to find the factors of both numbers and list the highest common factor.
The factors of 7062 are 1, 2, 3, 6, 11, 22, 33, 66, 107, 214, 321, 642, 1177, 2354, 3531, 7062
The factors of 9574 are 1, 2, 4787, 9574
The HCF of 7062,9574 is 2.
Lets's calculate GCF of 7062,9574
| 2 | 7062, 9574 |
| 3531, 4787 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7062,9574 By Matching Biggest Common Factor Method
Now, list down the factors of 7062
:1,2,3,6,11,22,33,66,107,214,321,642,1177,2354,3531,7062
Now, list down the factors of 9574
:1,2,4787,9574
Greatest Common Factor
We found the factors 7062,9574 . The biggest common factor number is the GCF number.
So the greatest common factor 7062,9574 is 2.
Lets's calculate LCM of 756,6416
| 2 | 756, 6416 |
| 2 | 378, 3208 |
| 189, 1604 |
∴ So the LCM of the given numbers is 2 x 2 x 189 x 1604 = 1212624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1212624
Therefore, the GCF of Fractions 7062/756,9574/6416 is 2/1212624
Least Common Multiple of 756,6416 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 756,6416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,6416) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(756,6416) x common factors =4 x 1 = 4
LCM(756,6416) = ( 756 × 6416 ) / 4
LCM(756,6416) = 4850496 / 4
LCM(756,6416) = 1212624
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FAQs on GCF of Fractions of 7062/756, 9574/6416
1. What is the HCF of 7062,9574?
The HCF of 7062,9574 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 7062/756, 9574/6416?
Answer: GCF of Numerators as per given numbers 7062/756, 9574/6416 is
GCF of Numerators i.e. for 7062,9574 is 2
LCM of denominators i.e. for 756,6416 is 1212624.
Thus, GCF of Fractions is 2/1212624.Finally, GCF of Fractions for 7062/756, 9574/6416 is 2/1212624.