GCF of 4351/822, 1374/175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4351/822, 1374/175 i.e 229/143850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4351/822, 1374/175.
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 4351/822,1374/175?
Given fractions are 4351/822,1374/175
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 4351/822,1374/175, numerators are 4351,1374
Denominators are 822,175
The GCF of 4351,1374 is 229 .
LCM of 822,175 is 143850.
The greatest common factor of 4351/822,1374/175 = [GCF of 4351,1374]/[LCM of 822,175]= 229/143850
Therefore, the GCF of 4351/822,1374/175 is 229/143850.
To find the highest common factor of 4351,1374, we have to find the factors of both numbers and list the highest common factor.
The factors of 4351 are 1, 19, 229, 4351
The factors of 1374 are 1, 2, 3, 6, 229, 458, 687, 1374
The HCF of 4351,1374 is 229.
Lets's calculate GCF of 4351,1374
| 229 | 4351, 1374 |
| 19, 6 |
∴ So the GCF of the given numbers is 229 = 229
Greatest Common Factor of 4351,1374 By Matching Biggest Common Factor Method
Now, list down the factors of 4351
:1,19,229,4351
Now, list down the factors of 1374
:1,2,3,6,229,458,687,1374
Greatest Common Factor
We found the factors 4351,1374 . The biggest common factor number is the GCF number.
So the greatest common factor 4351,1374 is 229.
Lets's calculate LCM of 822,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 143850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 229/143850
Therefore, the GCF of Fractions 4351/822,1374/175 is 229/143850
Least Common Multiple of 822,175 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 822,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(822,175) x common factors =1 x 1 = 1
LCM(822,175) = ( 822 × 175 ) / 1
LCM(822,175) = 143850 / 1
LCM(822,175) = 143850
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FAQs on GCF of Fractions of 4351/822, 1374/175
1. What is the HCF of 4351,1374?
The HCF of 4351,1374 is 229
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 4351/822, 1374/175?
Answer: GCF of Numerators as per given numbers 4351/822, 1374/175 is
GCF of Numerators i.e. for 4351,1374 is 229
LCM of denominators i.e. for 822,175 is 143850.
Thus, GCF of Fractions is 229/143850.Finally, GCF of Fractions for 4351/822, 1374/175 is 229/143850.