GCF of 7052/766, 9528/4655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7052/766, 9528/4655 i.e 4/3565730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7052/766, 9528/4655.
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 7052/766,9528/4655?
Given fractions are 7052/766,9528/4655
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 7052/766,9528/4655, numerators are 7052,9528
Denominators are 766,4655
The GCF of 7052,9528 is 4 .
LCM of 766,4655 is 3565730.
The greatest common factor of 7052/766,9528/4655 = [GCF of 7052,9528]/[LCM of 766,4655]= 4/3565730
Therefore, the GCF of 7052/766,9528/4655 is 4/3565730.
To find the highest common factor of 7052,9528, we have to find the factors of both numbers and list the highest common factor.
The factors of 7052 are 1, 2, 4, 41, 43, 82, 86, 164, 172, 1763, 3526, 7052
The factors of 9528 are 1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764, 9528
The HCF of 7052,9528 is 4.
Lets's calculate GCF of 7052,9528
| 2 | 7052, 9528 |
| 2 | 3526, 4764 |
| 1763, 2382 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7052,9528 By Matching Biggest Common Factor Method
Now, list down the factors of 7052
:1,2,4,41,43,82,86,164,172,1763,3526,7052
Now, list down the factors of 9528
:1,2,3,4,6,8,12,24,397,794,1191,1588,2382,3176,4764,9528
Greatest Common Factor
We found the factors 7052,9528 . The biggest common factor number is the GCF number.
So the greatest common factor 7052,9528 is 4.
Lets's calculate LCM of 766,4655
Given numbers has no common factors except 1. So, there LCM is their product i.e 3565730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3565730
Therefore, the GCF of Fractions 7052/766,9528/4655 is 4/3565730
Least Common Multiple of 766,4655 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 766,4655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,4655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(766,4655) x common factors =1 x 1 = 1
LCM(766,4655) = ( 766 × 4655 ) / 1
LCM(766,4655) = 3565730 / 1
LCM(766,4655) = 3565730
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FAQs on GCF of Fractions of 7052/766, 9528/4655
1. What is the HCF of 7052,9528?
The HCF of 7052,9528 is 4
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 7052/766, 9528/4655?
Answer: GCF of Numerators as per given numbers 7052/766, 9528/4655 is
GCF of Numerators i.e. for 7052,9528 is 4
LCM of denominators i.e. for 766,4655 is 3565730.
Thus, GCF of Fractions is 4/3565730.Finally, GCF of Fractions for 7052/766, 9528/4655 is 4/3565730.