GCF of 5352/996, 3869/427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5352/996, 3869/427 i.e 1/425292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5352/996, 3869/427.
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 5352/996,3869/427?
Given fractions are 5352/996,3869/427
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 5352/996,3869/427, numerators are 5352,3869
Denominators are 996,427
The GCF of 5352,3869 is 1 .
LCM of 996,427 is 425292.
The greatest common factor of 5352/996,3869/427 = [GCF of 5352,3869]/[LCM of 996,427]= 1/425292
Therefore, the GCF of 5352/996,3869/427 is 1/425292.
To find the highest common factor of 5352,3869, we have to find the factors of both numbers and list the highest common factor.
The factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352
The factors of 3869 are 1, 53, 73, 3869
The HCF of 5352,3869 is 1.
Lets's calculate GCF of 5352,3869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5352,3869 By Matching Biggest Common Factor Method
Now, list down the factors of 5352
:1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352
Now, list down the factors of 3869
:1,53,73,3869
Greatest Common Factor
We found the factors 5352,3869 . The biggest common factor number is the GCF number.
So the greatest common factor 5352,3869 is 1.
Lets's calculate LCM of 996,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 425292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/425292
Therefore, the GCF of Fractions 5352/996,3869/427 is 1/425292
Least Common Multiple of 996,427 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 996,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(996,427) x common factors =1 x 1 = 1
LCM(996,427) = ( 996 × 427 ) / 1
LCM(996,427) = 425292 / 1
LCM(996,427) = 425292
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FAQs on GCF of Fractions of 5352/996, 3869/427
1. What is the HCF of 5352,3869?
The HCF of 5352,3869 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 5352/996, 3869/427?
Answer: GCF of Numerators as per given numbers 5352/996, 3869/427 is
GCF of Numerators i.e. for 5352,3869 is 1
LCM of denominators i.e. for 996,427 is 425292.
Thus, GCF of Fractions is 1/425292.Finally, GCF of Fractions for 5352/996, 3869/427 is 1/425292.