GCF of 5122/778, 1624/6249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5122/778, 1624/6249 i.e 2/4861722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5122/778, 1624/6249.
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 5122/778,1624/6249?
Given fractions are 5122/778,1624/6249
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 5122/778,1624/6249, numerators are 5122,1624
Denominators are 778,6249
The GCF of 5122,1624 is 2 .
LCM of 778,6249 is 4861722.
The greatest common factor of 5122/778,1624/6249 = [GCF of 5122,1624]/[LCM of 778,6249]= 2/4861722
Therefore, the GCF of 5122/778,1624/6249 is 2/4861722.
To find the highest common factor of 5122,1624, we have to find the factors of both numbers and list the highest common factor.
The factors of 5122 are 1, 2, 13, 26, 197, 394, 2561, 5122
The factors of 1624 are 1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624
The HCF of 5122,1624 is 2.
Lets's calculate GCF of 5122,1624
| 2 | 5122, 1624 |
| 2561, 812 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5122,1624 By Matching Biggest Common Factor Method
Now, list down the factors of 5122
:1,2,13,26,197,394,2561,5122
Now, list down the factors of 1624
:1,2,4,7,8,14,28,29,56,58,116,203,232,406,812,1624
Greatest Common Factor
We found the factors 5122,1624 . The biggest common factor number is the GCF number.
So the greatest common factor 5122,1624 is 2.
Lets's calculate LCM of 778,6249
Given numbers has no common factors except 1. So, there LCM is their product i.e 4861722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4861722
Therefore, the GCF of Fractions 5122/778,1624/6249 is 2/4861722
Least Common Multiple of 778,6249 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 778,6249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,6249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,6249) x common factors =1 x 1 = 1
LCM(778,6249) = ( 778 × 6249 ) / 1
LCM(778,6249) = 4861722 / 1
LCM(778,6249) = 4861722
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FAQs on GCF of Fractions of 5122/778, 1624/6249
1. What is the HCF of 5122,1624?
The HCF of 5122,1624 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 5122/778, 1624/6249?
Answer: GCF of Numerators as per given numbers 5122/778, 1624/6249 is
GCF of Numerators i.e. for 5122,1624 is 2
LCM of denominators i.e. for 778,6249 is 4861722.
Thus, GCF of Fractions is 2/4861722.Finally, GCF of Fractions for 5122/778, 1624/6249 is 2/4861722.