GCF of 3344/924, 2027/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3344/924, 2027/706 i.e 1/326172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3344/924, 2027/706.
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 3344/924,2027/706?
Given fractions are 3344/924,2027/706
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 3344/924,2027/706, numerators are 3344,2027
Denominators are 924,706
The GCF of 3344,2027 is 1 .
LCM of 924,706 is 326172.
The greatest common factor of 3344/924,2027/706 = [GCF of 3344,2027]/[LCM of 924,706]= 1/326172
Therefore, the GCF of 3344/924,2027/706 is 1/326172.
To find the highest common factor of 3344,2027, we have to find the factors of both numbers and list the highest common factor.
The factors of 3344 are 1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304, 418, 836, 1672, 3344
The factors of 2027 are 1, 2027
The HCF of 3344,2027 is 1.
Lets's calculate GCF of 3344,2027
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3344,2027 By Matching Biggest Common Factor Method
Now, list down the factors of 3344
:1,2,4,8,11,16,19,22,38,44,76,88,152,176,209,304,418,836,1672,3344
Now, list down the factors of 2027
:1,2027
Greatest Common Factor
We found the factors 3344,2027 . The biggest common factor number is the GCF number.
So the greatest common factor 3344,2027 is 1.
Lets's calculate LCM of 924,706
| 2 | 924, 706 |
| 462, 353 |
∴ So the LCM of the given numbers is 2 x 462 x 353 = 326172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326172
Therefore, the GCF of Fractions 3344/924,2027/706 is 1/326172
Least Common Multiple of 924,706 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 924,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(924,706) x common factors =2 x 1 = 2
LCM(924,706) = ( 924 × 706 ) / 2
LCM(924,706) = 652344 / 2
LCM(924,706) = 326172
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FAQs on GCF of Fractions of 3344/924, 2027/706
1. What is the HCF of 3344,2027?
The HCF of 3344,2027 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 3344/924, 2027/706?
Answer: GCF of Numerators as per given numbers 3344/924, 2027/706 is
GCF of Numerators i.e. for 3344,2027 is 1
LCM of denominators i.e. for 924,706 is 326172.
Thus, GCF of Fractions is 1/326172.Finally, GCF of Fractions for 3344/924, 2027/706 is 1/326172.