GCF of 3908/222, 2258/7276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3908/222, 2258/7276 i.e 2/807636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3908/222, 2258/7276.
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 3908/222,2258/7276?
Given fractions are 3908/222,2258/7276
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 3908/222,2258/7276, numerators are 3908,2258
Denominators are 222,7276
The GCF of 3908,2258 is 2 .
LCM of 222,7276 is 807636.
The greatest common factor of 3908/222,2258/7276 = [GCF of 3908,2258]/[LCM of 222,7276]= 2/807636
Therefore, the GCF of 3908/222,2258/7276 is 2/807636.
To find the highest common factor of 3908,2258, we have to find the factors of both numbers and list the highest common factor.
The factors of 3908 are 1, 2, 4, 977, 1954, 3908
The factors of 2258 are 1, 2, 1129, 2258
The HCF of 3908,2258 is 2.
Lets's calculate GCF of 3908,2258
| 2 | 3908, 2258 |
| 1954, 1129 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3908,2258 By Matching Biggest Common Factor Method
Now, list down the factors of 3908
:1,2,4,977,1954,3908
Now, list down the factors of 2258
:1,2,1129,2258
Greatest Common Factor
We found the factors 3908,2258 . The biggest common factor number is the GCF number.
So the greatest common factor 3908,2258 is 2.
Lets's calculate LCM of 222,7276
| 2 | 222, 7276 |
| 111, 3638 |
∴ So the LCM of the given numbers is 2 x 111 x 3638 = 807636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/807636
Therefore, the GCF of Fractions 3908/222,2258/7276 is 2/807636
Least Common Multiple of 222,7276 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 222,7276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,7276) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(222,7276) x common factors =2 x 1 = 2
LCM(222,7276) = ( 222 × 7276 ) / 2
LCM(222,7276) = 1615272 / 2
LCM(222,7276) = 807636
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FAQs on GCF of Fractions of 3908/222, 2258/7276
1. What is the HCF of 3908,2258?
The HCF of 3908,2258 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 3908/222, 2258/7276?
Answer: GCF of Numerators as per given numbers 3908/222, 2258/7276 is
GCF of Numerators i.e. for 3908,2258 is 2
LCM of denominators i.e. for 222,7276 is 807636.
Thus, GCF of Fractions is 2/807636.Finally, GCF of Fractions for 3908/222, 2258/7276 is 2/807636.