GCF of 3520/453, 6754/302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3520/453, 6754/302 i.e 22/906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3520/453, 6754/302.
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 3520/453,6754/302?
Given fractions are 3520/453,6754/302
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 3520/453,6754/302, numerators are 3520,6754
Denominators are 453,302
The GCF of 3520,6754 is 22 .
LCM of 453,302 is 906.
The greatest common factor of 3520/453,6754/302 = [GCF of 3520,6754]/[LCM of 453,302]= 22/906
Therefore, the GCF of 3520/453,6754/302 is 22/906.
To find the highest common factor of 3520,6754, we have to find the factors of both numbers and list the highest common factor.
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 factors of 6754 are 1, 2, 11, 22, 307, 614, 3377, 6754
The HCF of 3520,6754 is 22.
Lets's calculate GCF of 3520,6754
| 2 | 3520, 6754 |
| 11 | 1760, 3377 |
| 160, 307 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 3520,6754 By Matching Biggest Common Factor Method
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
Now, list down the factors of 6754
:1,2,11,22,307,614,3377,6754
Greatest Common Factor
We found the factors 3520,6754 . The biggest common factor number is the GCF number.
So the greatest common factor 3520,6754 is 22.
Lets's calculate LCM of 453,302
| 151 | 453, 302 |
| 3, 2 |
∴ So the LCM of the given numbers is 151 x 3 x 2 = 906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/906
Therefore, the GCF of Fractions 3520/453,6754/302 is 22/906
Least Common Multiple of 453,302 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 453,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,302) = 151
common factors(in case of two or more numbers have common factors) = 1
GCF(453,302) x common factors =151 x 1 = 151
LCM(453,302) = ( 453 × 302 ) / 151
LCM(453,302) = 136806 / 151
LCM(453,302) = 906
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FAQs on GCF of Fractions of 3520/453, 6754/302
1. What is the HCF of 3520,6754?
The HCF of 3520,6754 is 22
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 3520/453, 6754/302?
Answer: GCF of Numerators as per given numbers 3520/453, 6754/302 is
GCF of Numerators i.e. for 3520,6754 is 22
LCM of denominators i.e. for 453,302 is 906.
Thus, GCF of Fractions is 22/906.Finally, GCF of Fractions for 3520/453, 6754/302 is 22/906.