GCF of 628/14, 778/204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 628/14, 778/204 i.e 2/1428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/14, 778/204.
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 628/14,778/204?
Given fractions are 628/14,778/204
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 628/14,778/204, numerators are 628,778
Denominators are 14,204
The GCF of 628,778 is 2 .
LCM of 14,204 is 1428.
The greatest common factor of 628/14,778/204 = [GCF of 628,778]/[LCM of 14,204]= 2/1428
Therefore, the GCF of 628/14,778/204 is 2/1428.
To find the highest common factor of 628,778, we have to find the factors of both numbers and list the highest common factor.
The factors of 628 are 1, 2, 4, 157, 314, 628
The factors of 778 are 1, 2, 389, 778
The HCF of 628,778 is 2.
Lets's calculate GCF of 628,778
| 2 | 628, 778 |
| 314, 389 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 628,778 By Matching Biggest Common Factor Method
Now, list down the factors of 628
:1,2,4,157,314,628
Now, list down the factors of 778
:1,2,389,778
Greatest Common Factor
We found the factors 628,778 . The biggest common factor number is the GCF number.
So the greatest common factor 628,778 is 2.
Lets's calculate LCM of 14,204
| 2 | 14, 204 |
| 7, 102 |
∴ So the LCM of the given numbers is 2 x 7 x 102 = 1428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1428
Therefore, the GCF of Fractions 628/14,778/204 is 2/1428
Least Common Multiple of 14,204 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 14,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,204) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,204) x common factors =2 x 1 = 2
LCM(14,204) = ( 14 × 204 ) / 2
LCM(14,204) = 2856 / 2
LCM(14,204) = 1428
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FAQs on GCF of Fractions of 628/14, 778/204
1. What is the HCF of 628,778?
The HCF of 628,778 is 2
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 628/14, 778/204?
Answer: GCF of Numerators as per given numbers 628/14, 778/204 is
GCF of Numerators i.e. for 628,778 is 2
LCM of denominators i.e. for 14,204 is 1428.
Thus, GCF of Fractions is 2/1428.Finally, GCF of Fractions for 628/14, 778/204 is 2/1428.