GCF of 4053/894, 3070/564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4053/894, 3070/564 i.e 1/84036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4053/894, 3070/564.
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 4053/894,3070/564?
Given fractions are 4053/894,3070/564
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 4053/894,3070/564, numerators are 4053,3070
Denominators are 894,564
The GCF of 4053,3070 is 1 .
LCM of 894,564 is 84036.
The greatest common factor of 4053/894,3070/564 = [GCF of 4053,3070]/[LCM of 894,564]= 1/84036
Therefore, the GCF of 4053/894,3070/564 is 1/84036.
To find the highest common factor of 4053,3070, we have to find the factors of both numbers and list the highest common factor.
The factors of 4053 are 1, 3, 7, 21, 193, 579, 1351, 4053
The factors of 3070 are 1, 2, 5, 10, 307, 614, 1535, 3070
The HCF of 4053,3070 is 1.
Lets's calculate GCF of 4053,3070
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4053,3070 By Matching Biggest Common Factor Method
Now, list down the factors of 4053
:1,3,7,21,193,579,1351,4053
Now, list down the factors of 3070
:1,2,5,10,307,614,1535,3070
Greatest Common Factor
We found the factors 4053,3070 . The biggest common factor number is the GCF number.
So the greatest common factor 4053,3070 is 1.
Lets's calculate LCM of 894,564
| 2 | 894, 564 |
| 3 | 447, 282 |
| 149, 94 |
∴ So the LCM of the given numbers is 2 x 3 x 149 x 94 = 84036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84036
Therefore, the GCF of Fractions 4053/894,3070/564 is 1/84036
Least Common Multiple of 894,564 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 894,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,564) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(894,564) x common factors =6 x 1 = 6
LCM(894,564) = ( 894 × 564 ) / 6
LCM(894,564) = 504216 / 6
LCM(894,564) = 84036
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FAQs on GCF of Fractions of 4053/894, 3070/564
1. What is the HCF of 4053,3070?
The HCF of 4053,3070 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 4053/894, 3070/564?
Answer: GCF of Numerators as per given numbers 4053/894, 3070/564 is
GCF of Numerators i.e. for 4053,3070 is 1
LCM of denominators i.e. for 894,564 is 84036.
Thus, GCF of Fractions is 1/84036.Finally, GCF of Fractions for 4053/894, 3070/564 is 1/84036.