GCF of 2908/212, 7782/3980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2908/212, 7782/3980 i.e 2/210940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2908/212, 7782/3980.
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 2908/212,7782/3980?
Given fractions are 2908/212,7782/3980
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 2908/212,7782/3980, numerators are 2908,7782
Denominators are 212,3980
The GCF of 2908,7782 is 2 .
LCM of 212,3980 is 210940.
The greatest common factor of 2908/212,7782/3980 = [GCF of 2908,7782]/[LCM of 212,3980]= 2/210940
Therefore, the GCF of 2908/212,7782/3980 is 2/210940.
To find the highest common factor of 2908,7782, we have to find the factors of both numbers and list the highest common factor.
The factors of 2908 are 1, 2, 4, 727, 1454, 2908
The factors of 7782 are 1, 2, 3, 6, 1297, 2594, 3891, 7782
The HCF of 2908,7782 is 2.
Lets's calculate GCF of 2908,7782
| 2 | 2908, 7782 |
| 1454, 3891 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2908,7782 By Matching Biggest Common Factor Method
Now, list down the factors of 2908
:1,2,4,727,1454,2908
Now, list down the factors of 7782
:1,2,3,6,1297,2594,3891,7782
Greatest Common Factor
We found the factors 2908,7782 . The biggest common factor number is the GCF number.
So the greatest common factor 2908,7782 is 2.
Lets's calculate LCM of 212,3980
| 2 | 212, 3980 |
| 2 | 106, 1990 |
| 53, 995 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 995 = 210940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/210940
Therefore, the GCF of Fractions 2908/212,7782/3980 is 2/210940
Least Common Multiple of 212,3980 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 212,3980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,3980) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(212,3980) x common factors =4 x 1 = 4
LCM(212,3980) = ( 212 × 3980 ) / 4
LCM(212,3980) = 843760 / 4
LCM(212,3980) = 210940
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FAQs on GCF of Fractions of 2908/212, 7782/3980
1. What is the HCF of 2908,7782?
The HCF of 2908,7782 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 2908/212, 7782/3980?
Answer: GCF of Numerators as per given numbers 2908/212, 7782/3980 is
GCF of Numerators i.e. for 2908,7782 is 2
LCM of denominators i.e. for 212,3980 is 210940.
Thus, GCF of Fractions is 2/210940.Finally, GCF of Fractions for 2908/212, 7782/3980 is 2/210940.