GCF of 3752/653, 5828/8976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3752/653, 5828/8976 i.e 4/5861328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3752/653, 5828/8976.
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 3752/653,5828/8976?
Given fractions are 3752/653,5828/8976
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 3752/653,5828/8976, numerators are 3752,5828
Denominators are 653,8976
The GCF of 3752,5828 is 4 .
LCM of 653,8976 is 5861328.
The greatest common factor of 3752/653,5828/8976 = [GCF of 3752,5828]/[LCM of 653,8976]= 4/5861328
Therefore, the GCF of 3752/653,5828/8976 is 4/5861328.
To find the highest common factor of 3752,5828, we have to find the factors of both numbers and list the highest common factor.
The factors of 3752 are 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876, 3752
The factors of 5828 are 1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828
The HCF of 3752,5828 is 4.
Lets's calculate GCF of 3752,5828
| 2 | 3752, 5828 |
| 2 | 1876, 2914 |
| 938, 1457 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3752,5828 By Matching Biggest Common Factor Method
Now, list down the factors of 3752
:1,2,4,7,8,14,28,56,67,134,268,469,536,938,1876,3752
Now, list down the factors of 5828
:1,2,4,31,47,62,94,124,188,1457,2914,5828
Greatest Common Factor
We found the factors 3752,5828 . The biggest common factor number is the GCF number.
So the greatest common factor 3752,5828 is 4.
Lets's calculate LCM of 653,8976
Given numbers has no common factors except 1. So, there LCM is their product i.e 5861328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5861328
Therefore, the GCF of Fractions 3752/653,5828/8976 is 4/5861328
Least Common Multiple of 653,8976 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 653,8976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,8976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,8976) x common factors =1 x 1 = 1
LCM(653,8976) = ( 653 × 8976 ) / 1
LCM(653,8976) = 5861328 / 1
LCM(653,8976) = 5861328
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FAQs on GCF of Fractions of 3752/653, 5828/8976
1. What is the HCF of 3752,5828?
The HCF of 3752,5828 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 3752/653, 5828/8976?
Answer: GCF of Numerators as per given numbers 3752/653, 5828/8976 is
GCF of Numerators i.e. for 3752,5828 is 4
LCM of denominators i.e. for 653,8976 is 5861328.
Thus, GCF of Fractions is 4/5861328.Finally, GCF of Fractions for 3752/653, 5828/8976 is 4/5861328.