GCF of 7528/260, 8812/5967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7528/260, 8812/5967 i.e 4/119340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7528/260, 8812/5967.
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 7528/260,8812/5967?
Given fractions are 7528/260,8812/5967
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 7528/260,8812/5967, numerators are 7528,8812
Denominators are 260,5967
The GCF of 7528,8812 is 4 .
LCM of 260,5967 is 119340.
The greatest common factor of 7528/260,8812/5967 = [GCF of 7528,8812]/[LCM of 260,5967]= 4/119340
Therefore, the GCF of 7528/260,8812/5967 is 4/119340.
To find the highest common factor of 7528,8812, we have to find the factors of both numbers and list the highest common factor.
The factors of 7528 are 1, 2, 4, 8, 941, 1882, 3764, 7528
The factors of 8812 are 1, 2, 4, 2203, 4406, 8812
The HCF of 7528,8812 is 4.
Lets's calculate GCF of 7528,8812
| 2 | 7528, 8812 |
| 2 | 3764, 4406 |
| 1882, 2203 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7528,8812 By Matching Biggest Common Factor Method
Now, list down the factors of 7528
:1,2,4,8,941,1882,3764,7528
Now, list down the factors of 8812
:1,2,4,2203,4406,8812
Greatest Common Factor
We found the factors 7528,8812 . The biggest common factor number is the GCF number.
So the greatest common factor 7528,8812 is 4.
Lets's calculate LCM of 260,5967
| 13 | 260, 5967 |
| 20, 459 |
∴ So the LCM of the given numbers is 13 x 20 x 459 = 119340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/119340
Therefore, the GCF of Fractions 7528/260,8812/5967 is 4/119340
Least Common Multiple of 260,5967 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 260,5967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,5967) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(260,5967) x common factors =13 x 1 = 13
LCM(260,5967) = ( 260 × 5967 ) / 13
LCM(260,5967) = 1551420 / 13
LCM(260,5967) = 119340
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FAQs on GCF of Fractions of 7528/260, 8812/5967
1. What is the HCF of 7528,8812?
The HCF of 7528,8812 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 7528/260, 8812/5967?
Answer: GCF of Numerators as per given numbers 7528/260, 8812/5967 is
GCF of Numerators i.e. for 7528,8812 is 4
LCM of denominators i.e. for 260,5967 is 119340.
Thus, GCF of Fractions is 4/119340.Finally, GCF of Fractions for 7528/260, 8812/5967 is 4/119340.