GCF of 6562/892, 4214/7224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6562/892, 4214/7224 i.e 2/1610952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6562/892, 4214/7224.
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 6562/892,4214/7224?
Given fractions are 6562/892,4214/7224
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 6562/892,4214/7224, numerators are 6562,4214
Denominators are 892,7224
The GCF of 6562,4214 is 2 .
LCM of 892,7224 is 1610952.
The greatest common factor of 6562/892,4214/7224 = [GCF of 6562,4214]/[LCM of 892,7224]= 2/1610952
Therefore, the GCF of 6562/892,4214/7224 is 2/1610952.
To find the highest common factor of 6562,4214, we have to find the factors of both numbers and list the highest common factor.
The factors of 6562 are 1, 2, 17, 34, 193, 386, 3281, 6562
The factors of 4214 are 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214
The HCF of 6562,4214 is 2.
Lets's calculate GCF of 6562,4214
| 2 | 6562, 4214 |
| 3281, 2107 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6562,4214 By Matching Biggest Common Factor Method
Now, list down the factors of 6562
:1,2,17,34,193,386,3281,6562
Now, list down the factors of 4214
:1,2,7,14,43,49,86,98,301,602,2107,4214
Greatest Common Factor
We found the factors 6562,4214 . The biggest common factor number is the GCF number.
So the greatest common factor 6562,4214 is 2.
Lets's calculate LCM of 892,7224
| 2 | 892, 7224 |
| 2 | 446, 3612 |
| 223, 1806 |
∴ So the LCM of the given numbers is 2 x 2 x 223 x 1806 = 1610952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1610952
Therefore, the GCF of Fractions 6562/892,4214/7224 is 2/1610952
Least Common Multiple of 892,7224 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 892,7224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,7224) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(892,7224) x common factors =4 x 1 = 4
LCM(892,7224) = ( 892 × 7224 ) / 4
LCM(892,7224) = 6443808 / 4
LCM(892,7224) = 1610952
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FAQs on GCF of Fractions of 6562/892, 4214/7224
1. What is the HCF of 6562,4214?
The HCF of 6562,4214 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 6562/892, 4214/7224?
Answer: GCF of Numerators as per given numbers 6562/892, 4214/7224 is
GCF of Numerators i.e. for 6562,4214 is 2
LCM of denominators i.e. for 892,7224 is 1610952.
Thus, GCF of Fractions is 2/1610952.Finally, GCF of Fractions for 6562/892, 4214/7224 is 2/1610952.