GCF of 7528/114, 2672/456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7528/114, 2672/456 i.e 8/456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7528/114, 2672/456.
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 7528/114,2672/456?
Given fractions are 7528/114,2672/456
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 7528/114,2672/456, numerators are 7528,2672
Denominators are 114,456
The GCF of 7528,2672 is 8 .
LCM of 114,456 is 456.
The greatest common factor of 7528/114,2672/456 = [GCF of 7528,2672]/[LCM of 114,456]= 8/456
Therefore, the GCF of 7528/114,2672/456 is 8/456.
To find the highest common factor of 7528,2672, 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 2672 are 1, 2, 4, 8, 16, 167, 334, 668, 1336, 2672
The HCF of 7528,2672 is 8.
Lets's calculate GCF of 7528,2672
| 2 | 7528, 2672 |
| 2 | 3764, 1336 |
| 2 | 1882, 668 |
| 941, 334 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7528,2672 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 2672
:1,2,4,8,16,167,334,668,1336,2672
Greatest Common Factor
We found the factors 7528,2672 . The biggest common factor number is the GCF number.
So the greatest common factor 7528,2672 is 8.
Lets's calculate LCM of 114,456
| 2 | 114, 456 |
| 3 | 57, 228 |
| 19 | 19, 76 |
| 1, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 4 = 456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/456
Therefore, the GCF of Fractions 7528/114,2672/456 is 8/456
Least Common Multiple of 114,456 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 114,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,456) = 114
common factors(in case of two or more numbers have common factors) = 1
GCF(114,456) x common factors =114 x 1 = 114
LCM(114,456) = ( 114 × 456 ) / 114
LCM(114,456) = 51984 / 114
LCM(114,456) = 456
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FAQs on GCF of Fractions of 7528/114, 2672/456
1. What is the HCF of 7528,2672?
The HCF of 7528,2672 is 8
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 7528/114, 2672/456?
Answer: GCF of Numerators as per given numbers 7528/114, 2672/456 is
GCF of Numerators i.e. for 7528,2672 is 8
LCM of denominators i.e. for 114,456 is 456.
Thus, GCF of Fractions is 8/456.Finally, GCF of Fractions for 7528/114, 2672/456 is 8/456.