GCF of 2816/802, 5202/3170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2816/802, 5202/3170 i.e 2/1271170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2816/802, 5202/3170.
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 2816/802,5202/3170?
Given fractions are 2816/802,5202/3170
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 2816/802,5202/3170, numerators are 2816,5202
Denominators are 802,3170
The GCF of 2816,5202 is 2 .
LCM of 802,3170 is 1271170.
The greatest common factor of 2816/802,5202/3170 = [GCF of 2816,5202]/[LCM of 802,3170]= 2/1271170
Therefore, the GCF of 2816/802,5202/3170 is 2/1271170.
To find the highest common factor of 2816,5202, we have to find the factors of both numbers and list the highest common factor.
The factors of 2816 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 704, 1408, 2816
The factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202
The HCF of 2816,5202 is 2.
Lets's calculate GCF of 2816,5202
| 2 | 2816, 5202 |
| 1408, 2601 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2816,5202 By Matching Biggest Common Factor Method
Now, list down the factors of 2816
:1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,704,1408,2816
Now, list down the factors of 5202
:1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202
Greatest Common Factor
We found the factors 2816,5202 . The biggest common factor number is the GCF number.
So the greatest common factor 2816,5202 is 2.
Lets's calculate LCM of 802,3170
| 2 | 802, 3170 |
| 401, 1585 |
∴ So the LCM of the given numbers is 2 x 401 x 1585 = 1271170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1271170
Therefore, the GCF of Fractions 2816/802,5202/3170 is 2/1271170
Least Common Multiple of 802,3170 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 802,3170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,3170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,3170) x common factors =2 x 1 = 2
LCM(802,3170) = ( 802 × 3170 ) / 2
LCM(802,3170) = 2542340 / 2
LCM(802,3170) = 1271170
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FAQs on GCF of Fractions of 2816/802, 5202/3170
1. What is the HCF of 2816,5202?
The HCF of 2816,5202 is 2
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 2816/802, 5202/3170?
Answer: GCF of Numerators as per given numbers 2816/802, 5202/3170 is
GCF of Numerators i.e. for 2816,5202 is 2
LCM of denominators i.e. for 802,3170 is 1271170.
Thus, GCF of Fractions is 2/1271170.Finally, GCF of Fractions for 2816/802, 5202/3170 is 2/1271170.