GCF of 524/316, 756/400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 524/316, 756/400 i.e 4/31600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 524/316, 756/400.
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 524/316,756/400?
Given fractions are 524/316,756/400
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 524/316,756/400, numerators are 524,756
Denominators are 316,400
The GCF of 524,756 is 4 .
LCM of 316,400 is 31600.
The greatest common factor of 524/316,756/400 = [GCF of 524,756]/[LCM of 316,400]= 4/31600
Therefore, the GCF of 524/316,756/400 is 4/31600.
To find the highest common factor of 524,756, we have to find the factors of both numbers and list the highest common factor.
The factors of 524 are 1, 2, 4, 131, 262, 524
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
The HCF of 524,756 is 4.
Lets's calculate GCF of 524,756
| 2 | 524, 756 |
| 2 | 262, 378 |
| 131, 189 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 524,756 By Matching Biggest Common Factor Method
Now, list down the factors of 524
:1,2,4,131,262,524
Now, list down the factors of 756
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 524,756 . The biggest common factor number is the GCF number.
So the greatest common factor 524,756 is 4.
Lets's calculate LCM of 316,400
| 2 | 316, 400 |
| 2 | 158, 200 |
| 79, 100 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 100 = 31600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/31600
Therefore, the GCF of Fractions 524/316,756/400 is 4/31600
Least Common Multiple of 316,400 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 316,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,400) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(316,400) x common factors =4 x 1 = 4
LCM(316,400) = ( 316 × 400 ) / 4
LCM(316,400) = 126400 / 4
LCM(316,400) = 31600
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FAQs on GCF of Fractions of 524/316, 756/400
1. What is the HCF of 524,756?
The HCF of 524,756 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 524/316, 756/400?
Answer: GCF of Numerators as per given numbers 524/316, 756/400 is
GCF of Numerators i.e. for 524,756 is 4
LCM of denominators i.e. for 316,400 is 31600.
Thus, GCF of Fractions is 4/31600.Finally, GCF of Fractions for 524/316, 756/400 is 4/31600.