GCF of 7763/420, 3226/3450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7763/420, 3226/3450 i.e 1/48300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7763/420, 3226/3450.
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 7763/420,3226/3450?
Given fractions are 7763/420,3226/3450
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 7763/420,3226/3450, numerators are 7763,3226
Denominators are 420,3450
The GCF of 7763,3226 is 1 .
LCM of 420,3450 is 48300.
The greatest common factor of 7763/420,3226/3450 = [GCF of 7763,3226]/[LCM of 420,3450]= 1/48300
Therefore, the GCF of 7763/420,3226/3450 is 1/48300.
To find the highest common factor of 7763,3226, we have to find the factors of both numbers and list the highest common factor.
The factors of 7763 are 1, 7, 1109, 7763
The factors of 3226 are 1, 2, 1613, 3226
The HCF of 7763,3226 is 1.
Lets's calculate GCF of 7763,3226
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7763,3226 By Matching Biggest Common Factor Method
Now, list down the factors of 7763
:1,7,1109,7763
Now, list down the factors of 3226
:1,2,1613,3226
Greatest Common Factor
We found the factors 7763,3226 . The biggest common factor number is the GCF number.
So the greatest common factor 7763,3226 is 1.
Lets's calculate LCM of 420,3450
| 2 | 420, 3450 |
| 3 | 210, 1725 |
| 5 | 70, 575 |
| 14, 115 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 14 x 115 = 48300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48300
Therefore, the GCF of Fractions 7763/420,3226/3450 is 1/48300
Least Common Multiple of 420,3450 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 420,3450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,3450) = 30
common factors(in case of two or more numbers have common factors) = 1
GCF(420,3450) x common factors =30 x 1 = 30
LCM(420,3450) = ( 420 × 3450 ) / 30
LCM(420,3450) = 1449000 / 30
LCM(420,3450) = 48300
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FAQs on GCF of Fractions of 7763/420, 3226/3450
1. What is the HCF of 7763,3226?
The HCF of 7763,3226 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 7763/420, 3226/3450?
Answer: GCF of Numerators as per given numbers 7763/420, 3226/3450 is
GCF of Numerators i.e. for 7763,3226 is 1
LCM of denominators i.e. for 420,3450 is 48300.
Thus, GCF of Fractions is 1/48300.Finally, GCF of Fractions for 7763/420, 3226/3450 is 1/48300.