GCF of 8726/975, 7980/1733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8726/975, 7980/1733 i.e 2/1689675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8726/975, 7980/1733.
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 8726/975,7980/1733?
Given fractions are 8726/975,7980/1733
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 8726/975,7980/1733, numerators are 8726,7980
Denominators are 975,1733
The GCF of 8726,7980 is 2 .
LCM of 975,1733 is 1689675.
The greatest common factor of 8726/975,7980/1733 = [GCF of 8726,7980]/[LCM of 975,1733]= 2/1689675
Therefore, the GCF of 8726/975,7980/1733 is 2/1689675.
To find the highest common factor of 8726,7980, we have to find the factors of both numbers and list the highest common factor.
The factors of 8726 are 1, 2, 4363, 8726
The factors of 7980 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980
The HCF of 8726,7980 is 2.
Lets's calculate GCF of 8726,7980
| 2 | 8726, 7980 |
| 4363, 3990 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8726,7980 By Matching Biggest Common Factor Method
Now, list down the factors of 8726
:1,2,4363,8726
Now, list down the factors of 7980
:1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980
Greatest Common Factor
We found the factors 8726,7980 . The biggest common factor number is the GCF number.
So the greatest common factor 8726,7980 is 2.
Lets's calculate LCM of 975,1733
Given numbers has no common factors except 1. So, there LCM is their product i.e 1689675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1689675
Therefore, the GCF of Fractions 8726/975,7980/1733 is 2/1689675
Least Common Multiple of 975,1733 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 975,1733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,1733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(975,1733) x common factors =1 x 1 = 1
LCM(975,1733) = ( 975 × 1733 ) / 1
LCM(975,1733) = 1689675 / 1
LCM(975,1733) = 1689675
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FAQs on GCF of Fractions of 8726/975, 7980/1733
1. What is the HCF of 8726,7980?
The HCF of 8726,7980 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 8726/975, 7980/1733?
Answer: GCF of Numerators as per given numbers 8726/975, 7980/1733 is
GCF of Numerators i.e. for 8726,7980 is 2
LCM of denominators i.e. for 975,1733 is 1689675.
Thus, GCF of Fractions is 2/1689675.Finally, GCF of Fractions for 8726/975, 7980/1733 is 2/1689675.