GCF of 6076/534, 6706/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6076/534, 6706/219 i.e 14/38982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6076/534, 6706/219.
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 6076/534,6706/219?
Given fractions are 6076/534,6706/219
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 6076/534,6706/219, numerators are 6076,6706
Denominators are 534,219
The GCF of 6076,6706 is 14 .
LCM of 534,219 is 38982.
The greatest common factor of 6076/534,6706/219 = [GCF of 6076,6706]/[LCM of 534,219]= 14/38982
Therefore, the GCF of 6076/534,6706/219 is 14/38982.
To find the highest common factor of 6076,6706, we have to find the factors of both numbers and list the highest common factor.
The factors of 6076 are 1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076
The factors of 6706 are 1, 2, 7, 14, 479, 958, 3353, 6706
The HCF of 6076,6706 is 14.
Lets's calculate GCF of 6076,6706
| 2 | 6076, 6706 |
| 7 | 3038, 3353 |
| 434, 479 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6076,6706 By Matching Biggest Common Factor Method
Now, list down the factors of 6076
:1,2,4,7,14,28,31,49,62,98,124,196,217,434,868,1519,3038,6076
Now, list down the factors of 6706
:1,2,7,14,479,958,3353,6706
Greatest Common Factor
We found the factors 6076,6706 . The biggest common factor number is the GCF number.
So the greatest common factor 6076,6706 is 14.
Lets's calculate LCM of 534,219
| 3 | 534, 219 |
| 178, 73 |
∴ So the LCM of the given numbers is 3 x 178 x 73 = 38982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/38982
Therefore, the GCF of Fractions 6076/534,6706/219 is 14/38982
Least Common Multiple of 534,219 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 534,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,219) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(534,219) x common factors =3 x 1 = 3
LCM(534,219) = ( 534 × 219 ) / 3
LCM(534,219) = 116946 / 3
LCM(534,219) = 38982
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FAQs on GCF of Fractions of 6076/534, 6706/219
1. What is the HCF of 6076,6706?
The HCF of 6076,6706 is 14
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 6076/534, 6706/219?
Answer: GCF of Numerators as per given numbers 6076/534, 6706/219 is
GCF of Numerators i.e. for 6076,6706 is 14
LCM of denominators i.e. for 534,219 is 38982.
Thus, GCF of Fractions is 14/38982.Finally, GCF of Fractions for 6076/534, 6706/219 is 14/38982.