GCF of 5033/628, 6787/354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5033/628, 6787/354 i.e 1/111156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5033/628, 6787/354.
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 5033/628,6787/354?
Given fractions are 5033/628,6787/354
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 5033/628,6787/354, numerators are 5033,6787
Denominators are 628,354
The GCF of 5033,6787 is 1 .
LCM of 628,354 is 111156.
The greatest common factor of 5033/628,6787/354 = [GCF of 5033,6787]/[LCM of 628,354]= 1/111156
Therefore, the GCF of 5033/628,6787/354 is 1/111156.
To find the highest common factor of 5033,6787, we have to find the factors of both numbers and list the highest common factor.
The factors of 5033 are 1, 7, 719, 5033
The factors of 6787 are 1, 11, 617, 6787
The HCF of 5033,6787 is 1.
Lets's calculate GCF of 5033,6787
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5033,6787 By Matching Biggest Common Factor Method
Now, list down the factors of 5033
:1,7,719,5033
Now, list down the factors of 6787
:1,11,617,6787
Greatest Common Factor
We found the factors 5033,6787 . The biggest common factor number is the GCF number.
So the greatest common factor 5033,6787 is 1.
Lets's calculate LCM of 628,354
| 2 | 628, 354 |
| 314, 177 |
∴ So the LCM of the given numbers is 2 x 314 x 177 = 111156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111156
Therefore, the GCF of Fractions 5033/628,6787/354 is 1/111156
Least Common Multiple of 628,354 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 628,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,354) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(628,354) x common factors =2 x 1 = 2
LCM(628,354) = ( 628 × 354 ) / 2
LCM(628,354) = 222312 / 2
LCM(628,354) = 111156
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FAQs on GCF of Fractions of 5033/628, 6787/354
1. What is the HCF of 5033,6787?
The HCF of 5033,6787 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 5033/628, 6787/354?
Answer: GCF of Numerators as per given numbers 5033/628, 6787/354 is
GCF of Numerators i.e. for 5033,6787 is 1
LCM of denominators i.e. for 628,354 is 111156.
Thus, GCF of Fractions is 1/111156.Finally, GCF of Fractions for 5033/628, 6787/354 is 1/111156.