GCF of 684/670, 7117/162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 684/670, 7117/162 i.e 1/54270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 684/670, 7117/162.
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 684/670,7117/162?
Given fractions are 684/670,7117/162
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 684/670,7117/162, numerators are 684,7117
Denominators are 670,162
The GCF of 684,7117 is 1 .
LCM of 670,162 is 54270.
The greatest common factor of 684/670,7117/162 = [GCF of 684,7117]/[LCM of 670,162]= 1/54270
Therefore, the GCF of 684/670,7117/162 is 1/54270.
To find the highest common factor of 684,7117, we have to find the factors of both numbers and list the highest common factor.
The factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
The factors of 7117 are 1, 11, 647, 7117
The HCF of 684,7117 is 1.
Lets's calculate GCF of 684,7117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 684,7117 By Matching Biggest Common Factor Method
Now, list down the factors of 684
:1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Now, list down the factors of 7117
:1,11,647,7117
Greatest Common Factor
We found the factors 684,7117 . The biggest common factor number is the GCF number.
So the greatest common factor 684,7117 is 1.
Lets's calculate LCM of 670,162
| 2 | 670, 162 |
| 335, 81 |
∴ So the LCM of the given numbers is 2 x 335 x 81 = 54270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54270
Therefore, the GCF of Fractions 684/670,7117/162 is 1/54270
Least Common Multiple of 670,162 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 670,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,162) x common factors =2 x 1 = 2
LCM(670,162) = ( 670 × 162 ) / 2
LCM(670,162) = 108540 / 2
LCM(670,162) = 54270
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FAQs on GCF of Fractions of 684/670, 7117/162
1. What is the HCF of 684,7117?
The HCF of 684,7117 is 1
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 684/670, 7117/162?
Answer: GCF of Numerators as per given numbers 684/670, 7117/162 is
GCF of Numerators i.e. for 684,7117 is 1
LCM of denominators i.e. for 670,162 is 54270.
Thus, GCF of Fractions is 1/54270.Finally, GCF of Fractions for 684/670, 7117/162 is 1/54270.