GCF of 1564/426, 5498/6249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1564/426, 5498/6249 i.e 2/887358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1564/426, 5498/6249.
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 1564/426,5498/6249?
Given fractions are 1564/426,5498/6249
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 1564/426,5498/6249, numerators are 1564,5498
Denominators are 426,6249
The GCF of 1564,5498 is 2 .
LCM of 426,6249 is 887358.
The greatest common factor of 1564/426,5498/6249 = [GCF of 1564,5498]/[LCM of 426,6249]= 2/887358
Therefore, the GCF of 1564/426,5498/6249 is 2/887358.
To find the highest common factor of 1564,5498, we have to find the factors of both numbers and list the highest common factor.
The factors of 1564 are 1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782, 1564
The factors of 5498 are 1, 2, 2749, 5498
The HCF of 1564,5498 is 2.
Lets's calculate GCF of 1564,5498
| 2 | 1564, 5498 |
| 782, 2749 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1564,5498 By Matching Biggest Common Factor Method
Now, list down the factors of 1564
:1,2,4,17,23,34,46,68,92,391,782,1564
Now, list down the factors of 5498
:1,2,2749,5498
Greatest Common Factor
We found the factors 1564,5498 . The biggest common factor number is the GCF number.
So the greatest common factor 1564,5498 is 2.
Lets's calculate LCM of 426,6249
| 3 | 426, 6249 |
| 142, 2083 |
∴ So the LCM of the given numbers is 3 x 142 x 2083 = 887358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/887358
Therefore, the GCF of Fractions 1564/426,5498/6249 is 2/887358
Least Common Multiple of 426,6249 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 426,6249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,6249) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(426,6249) x common factors =3 x 1 = 3
LCM(426,6249) = ( 426 × 6249 ) / 3
LCM(426,6249) = 2662074 / 3
LCM(426,6249) = 887358
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FAQs on GCF of Fractions of 1564/426, 5498/6249
1. What is the HCF of 1564,5498?
The HCF of 1564,5498 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 1564/426, 5498/6249?
Answer: GCF of Numerators as per given numbers 1564/426, 5498/6249 is
GCF of Numerators i.e. for 1564,5498 is 2
LCM of denominators i.e. for 426,6249 is 887358.
Thus, GCF of Fractions is 2/887358.Finally, GCF of Fractions for 1564/426, 5498/6249 is 2/887358.