GCF of 2696/206, 7672/3185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2696/206, 7672/3185 i.e 8/656110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2696/206, 7672/3185.
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 2696/206,7672/3185?
Given fractions are 2696/206,7672/3185
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 2696/206,7672/3185, numerators are 2696,7672
Denominators are 206,3185
The GCF of 2696,7672 is 8 .
LCM of 206,3185 is 656110.
The greatest common factor of 2696/206,7672/3185 = [GCF of 2696,7672]/[LCM of 206,3185]= 8/656110
Therefore, the GCF of 2696/206,7672/3185 is 8/656110.
To find the highest common factor of 2696,7672, we have to find the factors of both numbers and list the highest common factor.
The factors of 2696 are 1, 2, 4, 8, 337, 674, 1348, 2696
The factors of 7672 are 1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672
The HCF of 2696,7672 is 8.
Lets's calculate GCF of 2696,7672
| 2 | 2696, 7672 |
| 2 | 1348, 3836 |
| 2 | 674, 1918 |
| 337, 959 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2696,7672 By Matching Biggest Common Factor Method
Now, list down the factors of 2696
:1,2,4,8,337,674,1348,2696
Now, list down the factors of 7672
:1,2,4,7,8,14,28,56,137,274,548,959,1096,1918,3836,7672
Greatest Common Factor
We found the factors 2696,7672 . The biggest common factor number is the GCF number.
So the greatest common factor 2696,7672 is 8.
Lets's calculate LCM of 206,3185
Given numbers has no common factors except 1. So, there LCM is their product i.e 656110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/656110
Therefore, the GCF of Fractions 2696/206,7672/3185 is 8/656110
Least Common Multiple of 206,3185 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 206,3185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,3185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,3185) x common factors =1 x 1 = 1
LCM(206,3185) = ( 206 × 3185 ) / 1
LCM(206,3185) = 656110 / 1
LCM(206,3185) = 656110
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FAQs on GCF of Fractions of 2696/206, 7672/3185
1. What is the HCF of 2696,7672?
The HCF of 2696,7672 is 8
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 2696/206, 7672/3185?
Answer: GCF of Numerators as per given numbers 2696/206, 7672/3185 is
GCF of Numerators i.e. for 2696,7672 is 8
LCM of denominators i.e. for 206,3185 is 656110.
Thus, GCF of Fractions is 8/656110.Finally, GCF of Fractions for 2696/206, 7672/3185 is 8/656110.