GCF of 2856/802, 3472/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2856/802, 3472/114 i.e 56/45714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2856/802, 3472/114.
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 2856/802,3472/114?
Given fractions are 2856/802,3472/114
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 2856/802,3472/114, numerators are 2856,3472
Denominators are 802,114
The GCF of 2856,3472 is 56 .
LCM of 802,114 is 45714.
The greatest common factor of 2856/802,3472/114 = [GCF of 2856,3472]/[LCM of 802,114]= 56/45714
Therefore, the GCF of 2856/802,3472/114 is 56/45714.
To find the highest common factor of 2856,3472, we have to find the factors of both numbers and list the highest common factor.
The factors of 2856 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 357, 408, 476, 714, 952, 1428, 2856
The factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472
The HCF of 2856,3472 is 56.
Lets's calculate GCF of 2856,3472
| 2 | 2856, 3472 |
| 2 | 1428, 1736 |
| 2 | 714, 868 |
| 7 | 357, 434 |
| 51, 62 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 2856,3472 By Matching Biggest Common Factor Method
Now, list down the factors of 2856
:1,2,3,4,6,7,8,12,14,17,21,24,28,34,42,51,56,68,84,102,119,136,168,204,238,357,408,476,714,952,1428,2856
Now, list down the factors of 3472
:1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472
Greatest Common Factor
We found the factors 2856,3472 . The biggest common factor number is the GCF number.
So the greatest common factor 2856,3472 is 56.
Lets's calculate LCM of 802,114
| 2 | 802, 114 |
| 401, 57 |
∴ So the LCM of the given numbers is 2 x 401 x 57 = 45714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/45714
Therefore, the GCF of Fractions 2856/802,3472/114 is 56/45714
Least Common Multiple of 802,114 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 802,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,114) x common factors =2 x 1 = 2
LCM(802,114) = ( 802 × 114 ) / 2
LCM(802,114) = 91428 / 2
LCM(802,114) = 45714
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FAQs on GCF of Fractions of 2856/802, 3472/114
1. What is the HCF of 2856,3472?
The HCF of 2856,3472 is 56
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 2856/802, 3472/114?
Answer: GCF of Numerators as per given numbers 2856/802, 3472/114 is
GCF of Numerators i.e. for 2856,3472 is 56
LCM of denominators i.e. for 802,114 is 45714.
Thus, GCF of Fractions is 56/45714.Finally, GCF of Fractions for 2856/802, 3472/114 is 56/45714.