GCF of 4480/530, 7574/4095
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4480/530, 7574/4095 i.e 14/434070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4480/530, 7574/4095.
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 4480/530,7574/4095?
Given fractions are 4480/530,7574/4095
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 4480/530,7574/4095, numerators are 4480,7574
Denominators are 530,4095
The GCF of 4480,7574 is 14 .
LCM of 530,4095 is 434070.
The greatest common factor of 4480/530,7574/4095 = [GCF of 4480,7574]/[LCM of 530,4095]= 14/434070
Therefore, the GCF of 4480/530,7574/4095 is 14/434070.
To find the highest common factor of 4480,7574, we have to find the factors of both numbers and list the highest common factor.
The factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480
The factors of 7574 are 1, 2, 7, 14, 541, 1082, 3787, 7574
The HCF of 4480,7574 is 14.
Lets's calculate GCF of 4480,7574
| 2 | 4480, 7574 |
| 7 | 2240, 3787 |
| 320, 541 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4480,7574 By Matching Biggest Common Factor Method
Now, list down the factors of 4480
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,280,320,448,560,640,896,1120,2240,4480
Now, list down the factors of 7574
:1,2,7,14,541,1082,3787,7574
Greatest Common Factor
We found the factors 4480,7574 . The biggest common factor number is the GCF number.
So the greatest common factor 4480,7574 is 14.
Lets's calculate LCM of 530,4095
| 5 | 530, 4095 |
| 106, 819 |
∴ So the LCM of the given numbers is 5 x 106 x 819 = 434070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/434070
Therefore, the GCF of Fractions 4480/530,7574/4095 is 14/434070
Least Common Multiple of 530,4095 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 530,4095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,4095) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(530,4095) x common factors =5 x 1 = 5
LCM(530,4095) = ( 530 × 4095 ) / 5
LCM(530,4095) = 2170350 / 5
LCM(530,4095) = 434070
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FAQs on GCF of Fractions of 4480/530, 7574/4095
1. What is the HCF of 4480,7574?
The HCF of 4480,7574 is 14
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 4480/530, 7574/4095?
Answer: GCF of Numerators as per given numbers 4480/530, 7574/4095 is
GCF of Numerators i.e. for 4480,7574 is 14
LCM of denominators i.e. for 530,4095 is 434070.
Thus, GCF of Fractions is 14/434070.Finally, GCF of Fractions for 4480/530, 7574/4095 is 14/434070.