GCF of 14/604, 114/224, 759/228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/604, 114/224, 759/228 i.e 1/1927968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/604, 114/224, 759/228.
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 14/604,114/224,759/228?
Given fractions are 14/604,114/224,759/228
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 14/604,114/224,759/228, numerators are 14,114,759
Denominators are 604,224,228
The GCF of 14,114,759 is 1 .
LCM of 604,224,228 is 1927968.
The greatest common factor of 14/604,114/224,759/228 = [GCF of 14,114,759]/[LCM of 604,224,228]= 1/1927968
Therefore, the GCF of 14/604,114/224,759/228 is 1/1927968.
To find the highest common factor of 14,114,759, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759
The HCF of 14,114,759 is 1.
Lets's calculate GCF of 14,114,759
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 14,114,759 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Now, list down the factors of 759
:1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 14,114,759 . The biggest common factor number is the GCF number.
So the greatest common factor 14,114,759 is 1.
Lets's calculate LCM of 604,224,228
| 2 | 604, 224, 228 |
| 2 | 302, 112, 114 |
| 151, 56, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 151 x 56 x 57 = 1927968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1927968
Therefore, the GCF of Fractions 14/604,114/224,759/228 is 1/1927968
Least Common Multiple of 604,224,228 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 604,224,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,224,228) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(604,224,228) x common factors =4 x 4 = 16
LCM(604,224,228) = ( 604 × 224 × 228 ) / 16
LCM(604,224,228) = 30847488 / 16
LCM(604,224,228) = 1927968
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FAQs on GCF of Fractions of 14/604, 114/224, 759/228
1. What is the HCF of 14,114,759?
The HCF of 14,114,759 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 14/604, 114/224, 759/228?
Answer: GCF of Numerators as per given numbers 14/604, 114/224, 759/228 is
GCF of Numerators i.e. for 14,114,759 is 1
LCM of denominators i.e. for 604,224,228 is 1927968.
Thus, GCF of Fractions is 1/1927968.Finally, GCF of Fractions for 14/604, 114/224, 759/228 is 1/1927968.