GCF of 1162/756, 4949/7576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1162/756, 4949/7576 i.e 7/1431864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1162/756, 4949/7576.
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 1162/756,4949/7576?
Given fractions are 1162/756,4949/7576
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 1162/756,4949/7576, numerators are 1162,4949
Denominators are 756,7576
The GCF of 1162,4949 is 7 .
LCM of 756,7576 is 1431864.
The greatest common factor of 1162/756,4949/7576 = [GCF of 1162,4949]/[LCM of 756,7576]= 7/1431864
Therefore, the GCF of 1162/756,4949/7576 is 7/1431864.
To find the highest common factor of 1162,4949, we have to find the factors of both numbers and list the highest common factor.
The factors of 1162 are 1, 2, 7, 14, 83, 166, 581, 1162
The factors of 4949 are 1, 7, 49, 101, 707, 4949
The HCF of 1162,4949 is 7.
Lets's calculate GCF of 1162,4949
| 7 | 1162, 4949 |
| 166, 707 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1162,4949 By Matching Biggest Common Factor Method
Now, list down the factors of 1162
:1,2,7,14,83,166,581,1162
Now, list down the factors of 4949
:1,7,49,101,707,4949
Greatest Common Factor
We found the factors 1162,4949 . The biggest common factor number is the GCF number.
So the greatest common factor 1162,4949 is 7.
Lets's calculate LCM of 756,7576
| 2 | 756, 7576 |
| 2 | 378, 3788 |
| 189, 1894 |
∴ So the LCM of the given numbers is 2 x 2 x 189 x 1894 = 1431864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1431864
Therefore, the GCF of Fractions 1162/756,4949/7576 is 7/1431864
Least Common Multiple of 756,7576 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 756,7576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,7576) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(756,7576) x common factors =4 x 1 = 4
LCM(756,7576) = ( 756 × 7576 ) / 4
LCM(756,7576) = 5727456 / 4
LCM(756,7576) = 1431864
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FAQs on GCF of Fractions of 1162/756, 4949/7576
1. What is the HCF of 1162,4949?
The HCF of 1162,4949 is 7
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 1162/756, 4949/7576?
Answer: GCF of Numerators as per given numbers 1162/756, 4949/7576 is
GCF of Numerators i.e. for 1162,4949 is 7
LCM of denominators i.e. for 756,7576 is 1431864.
Thus, GCF of Fractions is 7/1431864.Finally, GCF of Fractions for 1162/756, 4949/7576 is 7/1431864.