GCF of 1220/822, 5452/1398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1220/822, 5452/1398 i.e 4/191526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1220/822, 5452/1398.
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 1220/822,5452/1398?
Given fractions are 1220/822,5452/1398
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 1220/822,5452/1398, numerators are 1220,5452
Denominators are 822,1398
The GCF of 1220,5452 is 4 .
LCM of 822,1398 is 191526.
The greatest common factor of 1220/822,5452/1398 = [GCF of 1220,5452]/[LCM of 822,1398]= 4/191526
Therefore, the GCF of 1220/822,5452/1398 is 4/191526.
To find the highest common factor of 1220,5452, we have to find the factors of both numbers and list the highest common factor.
The factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220
The factors of 5452 are 1, 2, 4, 29, 47, 58, 94, 116, 188, 1363, 2726, 5452
The HCF of 1220,5452 is 4.
Lets's calculate GCF of 1220,5452
| 2 | 1220, 5452 |
| 2 | 610, 2726 |
| 305, 1363 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1220,5452 By Matching Biggest Common Factor Method
Now, list down the factors of 1220
:1,2,4,5,10,20,61,122,244,305,610,1220
Now, list down the factors of 5452
:1,2,4,29,47,58,94,116,188,1363,2726,5452
Greatest Common Factor
We found the factors 1220,5452 . The biggest common factor number is the GCF number.
So the greatest common factor 1220,5452 is 4.
Lets's calculate LCM of 822,1398
| 2 | 822, 1398 |
| 3 | 411, 699 |
| 137, 233 |
∴ So the LCM of the given numbers is 2 x 3 x 137 x 233 = 191526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/191526
Therefore, the GCF of Fractions 1220/822,5452/1398 is 4/191526
Least Common Multiple of 822,1398 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 822,1398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,1398) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(822,1398) x common factors =6 x 1 = 6
LCM(822,1398) = ( 822 × 1398 ) / 6
LCM(822,1398) = 1149156 / 6
LCM(822,1398) = 191526
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FAQs on GCF of Fractions of 1220/822, 5452/1398
1. What is the HCF of 1220,5452?
The HCF of 1220,5452 is 4
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 1220/822, 5452/1398?
Answer: GCF of Numerators as per given numbers 1220/822, 5452/1398 is
GCF of Numerators i.e. for 1220,5452 is 4
LCM of denominators i.e. for 822,1398 is 191526.
Thus, GCF of Fractions is 4/191526.Finally, GCF of Fractions for 1220/822, 5452/1398 is 4/191526.