GCF of 7076/572, 7206/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7076/572, 7206/409 i.e 2/233948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7076/572, 7206/409.
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 7076/572,7206/409?
Given fractions are 7076/572,7206/409
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 7076/572,7206/409, numerators are 7076,7206
Denominators are 572,409
The GCF of 7076,7206 is 2 .
LCM of 572,409 is 233948.
The greatest common factor of 7076/572,7206/409 = [GCF of 7076,7206]/[LCM of 572,409]= 2/233948
Therefore, the GCF of 7076/572,7206/409 is 2/233948.
To find the highest common factor of 7076,7206, we have to find the factors of both numbers and list the highest common factor.
The factors of 7076 are 1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076
The factors of 7206 are 1, 2, 3, 6, 1201, 2402, 3603, 7206
The HCF of 7076,7206 is 2.
Lets's calculate GCF of 7076,7206
| 2 | 7076, 7206 |
| 3538, 3603 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7076,7206 By Matching Biggest Common Factor Method
Now, list down the factors of 7076
:1,2,4,29,58,61,116,122,244,1769,3538,7076
Now, list down the factors of 7206
:1,2,3,6,1201,2402,3603,7206
Greatest Common Factor
We found the factors 7076,7206 . The biggest common factor number is the GCF number.
So the greatest common factor 7076,7206 is 2.
Lets's calculate LCM of 572,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 233948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/233948
Therefore, the GCF of Fractions 7076/572,7206/409 is 2/233948
Least Common Multiple of 572,409 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 572,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(572,409) x common factors =1 x 1 = 1
LCM(572,409) = ( 572 × 409 ) / 1
LCM(572,409) = 233948 / 1
LCM(572,409) = 233948
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FAQs on GCF of Fractions of 7076/572, 7206/409
1. What is the HCF of 7076,7206?
The HCF of 7076,7206 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 7076/572, 7206/409?
Answer: GCF of Numerators as per given numbers 7076/572, 7206/409 is
GCF of Numerators i.e. for 7076,7206 is 2
LCM of denominators i.e. for 572,409 is 233948.
Thus, GCF of Fractions is 2/233948.Finally, GCF of Fractions for 7076/572, 7206/409 is 2/233948.