GCF of 4180/533, 3520/3701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4180/533, 3520/3701 i.e 220/1972633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4180/533, 3520/3701.
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 4180/533,3520/3701?
Given fractions are 4180/533,3520/3701
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 4180/533,3520/3701, numerators are 4180,3520
Denominators are 533,3701
The GCF of 4180,3520 is 220 .
LCM of 533,3701 is 1972633.
The greatest common factor of 4180/533,3520/3701 = [GCF of 4180,3520]/[LCM of 533,3701]= 220/1972633
Therefore, the GCF of 4180/533,3520/3701 is 220/1972633.
To find the highest common factor of 4180,3520, we have to find the factors of both numbers and list the highest common factor.
The factors of 4180 are 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180
The factors of 3520 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520
The HCF of 4180,3520 is 220.
Lets's calculate GCF of 4180,3520
| 2 | 4180, 3520 |
| 2 | 2090, 1760 |
| 5 | 1045, 880 |
| 11 | 209, 176 |
| 19, 16 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 11 = 220
Greatest Common Factor of 4180,3520 By Matching Biggest Common Factor Method
Now, list down the factors of 4180
:1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180
Now, list down the factors of 3520
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520
Greatest Common Factor
We found the factors 4180,3520 . The biggest common factor number is the GCF number.
So the greatest common factor 4180,3520 is 220.
Lets's calculate LCM of 533,3701
Given numbers has no common factors except 1. So, there LCM is their product i.e 1972633
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 220/1972633
Therefore, the GCF of Fractions 4180/533,3520/3701 is 220/1972633
Least Common Multiple of 533,3701 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 533,3701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,3701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,3701) x common factors =1 x 1 = 1
LCM(533,3701) = ( 533 × 3701 ) / 1
LCM(533,3701) = 1972633 / 1
LCM(533,3701) = 1972633
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FAQs on GCF of Fractions of 4180/533, 3520/3701
1. What is the HCF of 4180,3520?
The HCF of 4180,3520 is 220
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 4180/533, 3520/3701?
Answer: GCF of Numerators as per given numbers 4180/533, 3520/3701 is
GCF of Numerators i.e. for 4180,3520 is 220
LCM of denominators i.e. for 533,3701 is 1972633.
Thus, GCF of Fractions is 220/1972633.Finally, GCF of Fractions for 4180/533, 3520/3701 is 220/1972633.