GCF of 28/457, 699/495, 627/374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/457, 699/495, 627/374 i.e 1/7691310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/457, 699/495, 627/374.
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 28/457,699/495,627/374?
Given fractions are 28/457,699/495,627/374
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 28/457,699/495,627/374, numerators are 28,699,627
Denominators are 457,495,374
The GCF of 28,699,627 is 1 .
LCM of 457,495,374 is 7691310.
The greatest common factor of 28/457,699/495,627/374 = [GCF of 28,699,627]/[LCM of 457,495,374]= 1/7691310
Therefore, the GCF of 28/457,699/495,627/374 is 1/7691310.
To find the highest common factor of 28,699,627, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 699 are 1, 3, 233, 699
The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627
The HCF of 28,699,627 is 1.
Lets's calculate GCF of 28,699,627
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,699,627 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 699
:1,3,233,699
Now, list down the factors of 627
:1,3,11,19,33,57,209,627
Greatest Common Factor
We found the factors 28,699,627 . The biggest common factor number is the GCF number.
So the greatest common factor 28,699,627 is 1.
Lets's calculate LCM of 457,495,374
| 11 | 457, 495, 374 |
| 457, 45, 34 |
∴ So the LCM of the given numbers is 11 x 457 x 45 x 34 = 7691310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7691310
Therefore, the GCF of Fractions 28/457,699/495,627/374 is 1/7691310
Least Common Multiple of 457,495,374 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 457,495,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,495,374) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(457,495,374) x common factors =1 x 11 = 11
LCM(457,495,374) = ( 457 × 495 × 374 ) / 11
LCM(457,495,374) = 84604410 / 11
LCM(457,495,374) = 7691310
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FAQs on GCF of Fractions of 28/457, 699/495, 627/374
1. What is the HCF of 28,699,627?
The HCF of 28,699,627 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 28/457, 699/495, 627/374?
Answer: GCF of Numerators as per given numbers 28/457, 699/495, 627/374 is
GCF of Numerators i.e. for 28,699,627 is 1
LCM of denominators i.e. for 457,495,374 is 7691310.
Thus, GCF of Fractions is 1/7691310.Finally, GCF of Fractions for 28/457, 699/495, 627/374 is 1/7691310.