GCF of 2237/206, 6624/2214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2237/206, 6624/2214 i.e 1/228042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2237/206, 6624/2214.
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 2237/206,6624/2214?
Given fractions are 2237/206,6624/2214
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 2237/206,6624/2214, numerators are 2237,6624
Denominators are 206,2214
The GCF of 2237,6624 is 1 .
LCM of 206,2214 is 228042.
The greatest common factor of 2237/206,6624/2214 = [GCF of 2237,6624]/[LCM of 206,2214]= 1/228042
Therefore, the GCF of 2237/206,6624/2214 is 1/228042.
To find the highest common factor of 2237,6624, we have to find the factors of both numbers and list the highest common factor.
The factors of 2237 are 1, 2237
The factors of 6624 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 69, 72, 92, 96, 138, 144, 184, 207, 276, 288, 368, 414, 552, 736, 828, 1104, 1656, 2208, 3312, 6624
The HCF of 2237,6624 is 1.
Lets's calculate GCF of 2237,6624
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2237,6624 By Matching Biggest Common Factor Method
Now, list down the factors of 2237
:1,2237
Now, list down the factors of 6624
:1,2,3,4,6,8,9,12,16,18,23,24,32,36,46,48,69,72,92,96,138,144,184,207,276,288,368,414,552,736,828,1104,1656,2208,3312,6624
Greatest Common Factor
We found the factors 2237,6624 . The biggest common factor number is the GCF number.
So the greatest common factor 2237,6624 is 1.
Lets's calculate LCM of 206,2214
| 2 | 206, 2214 |
| 103, 1107 |
∴ So the LCM of the given numbers is 2 x 103 x 1107 = 228042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228042
Therefore, the GCF of Fractions 2237/206,6624/2214 is 1/228042
Least Common Multiple of 206,2214 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 206,2214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,2214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,2214) x common factors =2 x 1 = 2
LCM(206,2214) = ( 206 × 2214 ) / 2
LCM(206,2214) = 456084 / 2
LCM(206,2214) = 228042
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FAQs on GCF of Fractions of 2237/206, 6624/2214
1. What is the HCF of 2237,6624?
The HCF of 2237,6624 is 1
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 2237/206, 6624/2214?
Answer: GCF of Numerators as per given numbers 2237/206, 6624/2214 is
GCF of Numerators i.e. for 2237,6624 is 1
LCM of denominators i.e. for 206,2214 is 228042.
Thus, GCF of Fractions is 1/228042.Finally, GCF of Fractions for 2237/206, 6624/2214 is 1/228042.