GCF of 3516/132, 7072/298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3516/132, 7072/298 i.e 4/19668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3516/132, 7072/298.
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 3516/132,7072/298?
Given fractions are 3516/132,7072/298
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 3516/132,7072/298, numerators are 3516,7072
Denominators are 132,298
The GCF of 3516,7072 is 4 .
LCM of 132,298 is 19668.
The greatest common factor of 3516/132,7072/298 = [GCF of 3516,7072]/[LCM of 132,298]= 4/19668
Therefore, the GCF of 3516/132,7072/298 is 4/19668.
To find the highest common factor of 3516,7072, we have to find the factors of both numbers and list the highest common factor.
The factors of 3516 are 1, 2, 3, 4, 6, 12, 293, 586, 879, 1172, 1758, 3516
The factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072
The HCF of 3516,7072 is 4.
Lets's calculate GCF of 3516,7072
| 2 | 3516, 7072 |
| 2 | 1758, 3536 |
| 879, 1768 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3516,7072 By Matching Biggest Common Factor Method
Now, list down the factors of 3516
:1,2,3,4,6,12,293,586,879,1172,1758,3516
Now, list down the factors of 7072
:1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072
Greatest Common Factor
We found the factors 3516,7072 . The biggest common factor number is the GCF number.
So the greatest common factor 3516,7072 is 4.
Lets's calculate LCM of 132,298
| 2 | 132, 298 |
| 66, 149 |
∴ So the LCM of the given numbers is 2 x 66 x 149 = 19668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/19668
Therefore, the GCF of Fractions 3516/132,7072/298 is 4/19668
Least Common Multiple of 132,298 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 132,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(132,298) x common factors =2 x 1 = 2
LCM(132,298) = ( 132 × 298 ) / 2
LCM(132,298) = 39336 / 2
LCM(132,298) = 19668
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FAQs on GCF of Fractions of 3516/132, 7072/298
1. What is the HCF of 3516,7072?
The HCF of 3516,7072 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 3516/132, 7072/298?
Answer: GCF of Numerators as per given numbers 3516/132, 7072/298 is
GCF of Numerators i.e. for 3516,7072 is 4
LCM of denominators i.e. for 132,298 is 19668.
Thus, GCF of Fractions is 4/19668.Finally, GCF of Fractions for 3516/132, 7072/298 is 4/19668.