GCF of 4253/922, 1424/1984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4253/922, 1424/1984 i.e 1/914624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4253/922, 1424/1984.
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 4253/922,1424/1984?
Given fractions are 4253/922,1424/1984
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 4253/922,1424/1984, numerators are 4253,1424
Denominators are 922,1984
The GCF of 4253,1424 is 1 .
LCM of 922,1984 is 914624.
The greatest common factor of 4253/922,1424/1984 = [GCF of 4253,1424]/[LCM of 922,1984]= 1/914624
Therefore, the GCF of 4253/922,1424/1984 is 1/914624.
To find the highest common factor of 4253,1424, we have to find the factors of both numbers and list the highest common factor.
The factors of 4253 are 1, 4253
The factors of 1424 are 1, 2, 4, 8, 16, 89, 178, 356, 712, 1424
The HCF of 4253,1424 is 1.
Lets's calculate GCF of 4253,1424
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4253,1424 By Matching Biggest Common Factor Method
Now, list down the factors of 4253
:1,4253
Now, list down the factors of 1424
:1,2,4,8,16,89,178,356,712,1424
Greatest Common Factor
We found the factors 4253,1424 . The biggest common factor number is the GCF number.
So the greatest common factor 4253,1424 is 1.
Lets's calculate LCM of 922,1984
| 2 | 922, 1984 |
| 461, 992 |
∴ So the LCM of the given numbers is 2 x 461 x 992 = 914624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/914624
Therefore, the GCF of Fractions 4253/922,1424/1984 is 1/914624
Least Common Multiple of 922,1984 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 922,1984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,1984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,1984) x common factors =2 x 1 = 2
LCM(922,1984) = ( 922 × 1984 ) / 2
LCM(922,1984) = 1829248 / 2
LCM(922,1984) = 914624
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FAQs on GCF of Fractions of 4253/922, 1424/1984
1. What is the HCF of 4253,1424?
The HCF of 4253,1424 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 4253/922, 1424/1984?
Answer: GCF of Numerators as per given numbers 4253/922, 1424/1984 is
GCF of Numerators i.e. for 4253,1424 is 1
LCM of denominators i.e. for 922,1984 is 914624.
Thus, GCF of Fractions is 1/914624.Finally, GCF of Fractions for 4253/922, 1424/1984 is 1/914624.