GCF of 228/35, 671/7804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 228/35, 671/7804 i.e 1/273140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 228/35, 671/7804.
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 228/35,671/7804?
Given fractions are 228/35,671/7804
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 228/35,671/7804, numerators are 228,671
Denominators are 35,7804
The GCF of 228,671 is 1 .
LCM of 35,7804 is 273140.
The greatest common factor of 228/35,671/7804 = [GCF of 228,671]/[LCM of 35,7804]= 1/273140
Therefore, the GCF of 228/35,671/7804 is 1/273140.
To find the highest common factor of 228,671, we have to find the factors of both numbers and list the highest common factor.
The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
The factors of 671 are 1, 11, 61, 671
The HCF of 228,671 is 1.
Lets's calculate GCF of 228,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 228,671 By Matching Biggest Common Factor Method
Now, list down the factors of 228
:1,2,3,4,6,12,19,38,57,76,114,228
Now, list down the factors of 671
:1,11,61,671
Greatest Common Factor
We found the factors 228,671 . The biggest common factor number is the GCF number.
So the greatest common factor 228,671 is 1.
Lets's calculate LCM of 35,7804
Given numbers has no common factors except 1. So, there LCM is their product i.e 273140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273140
Therefore, the GCF of Fractions 228/35,671/7804 is 1/273140
Least Common Multiple of 35,7804 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 35,7804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,7804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,7804) x common factors =1 x 1 = 1
LCM(35,7804) = ( 35 × 7804 ) / 1
LCM(35,7804) = 273140 / 1
LCM(35,7804) = 273140
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FAQs on GCF of Fractions of 228/35, 671/7804
1. What is the HCF of 228,671?
The HCF of 228,671 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 228/35, 671/7804?
Answer: GCF of Numerators as per given numbers 228/35, 671/7804 is
GCF of Numerators i.e. for 228,671 is 1
LCM of denominators i.e. for 35,7804 is 273140.
Thus, GCF of Fractions is 1/273140.Finally, GCF of Fractions for 228/35, 671/7804 is 1/273140.