GCF of 4675/224, 8075/6268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4675/224, 8075/6268 i.e 425/351008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4675/224, 8075/6268.
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 4675/224,8075/6268?
Given fractions are 4675/224,8075/6268
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 4675/224,8075/6268, numerators are 4675,8075
Denominators are 224,6268
The GCF of 4675,8075 is 425 .
LCM of 224,6268 is 351008.
The greatest common factor of 4675/224,8075/6268 = [GCF of 4675,8075]/[LCM of 224,6268]= 425/351008
Therefore, the GCF of 4675/224,8075/6268 is 425/351008.
To find the highest common factor of 4675,8075, we have to find the factors of both numbers and list the highest common factor.
The factors of 4675 are 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675
The factors of 8075 are 1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, 8075
The HCF of 4675,8075 is 425.
Lets's calculate GCF of 4675,8075
| 5 | 4675, 8075 |
| 5 | 935, 1615 |
| 17 | 187, 323 |
| 11, 19 |
∴ So the GCF of the given numbers is 5 x 5 x 17 = 425
Greatest Common Factor of 4675,8075 By Matching Biggest Common Factor Method
Now, list down the factors of 4675
:1,5,11,17,25,55,85,187,275,425,935,4675
Now, list down the factors of 8075
:1,5,17,19,25,85,95,323,425,475,1615,8075
Greatest Common Factor
We found the factors 4675,8075 . The biggest common factor number is the GCF number.
So the greatest common factor 4675,8075 is 425.
Lets's calculate LCM of 224,6268
| 2 | 224, 6268 |
| 2 | 112, 3134 |
| 56, 1567 |
∴ So the LCM of the given numbers is 2 x 2 x 56 x 1567 = 351008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 425/351008
Therefore, the GCF of Fractions 4675/224,8075/6268 is 425/351008
Least Common Multiple of 224,6268 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 224,6268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,6268) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(224,6268) x common factors =4 x 1 = 4
LCM(224,6268) = ( 224 × 6268 ) / 4
LCM(224,6268) = 1404032 / 4
LCM(224,6268) = 351008
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FAQs on GCF of Fractions of 4675/224, 8075/6268
1. What is the HCF of 4675,8075?
The HCF of 4675,8075 is 425
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 4675/224, 8075/6268?
Answer: GCF of Numerators as per given numbers 4675/224, 8075/6268 is
GCF of Numerators i.e. for 4675,8075 is 425
LCM of denominators i.e. for 224,6268 is 351008.
Thus, GCF of Fractions is 425/351008.Finally, GCF of Fractions for 4675/224, 8075/6268 is 425/351008.