GCF of 846/74, 564/9697
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 846/74, 564/9697 i.e 282/717578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 846/74, 564/9697.
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 846/74,564/9697?
Given fractions are 846/74,564/9697
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 846/74,564/9697, numerators are 846,564
Denominators are 74,9697
The GCF of 846,564 is 282 .
LCM of 74,9697 is 717578.
The greatest common factor of 846/74,564/9697 = [GCF of 846,564]/[LCM of 74,9697]= 282/717578
Therefore, the GCF of 846/74,564/9697 is 282/717578.
To find the highest common factor of 846,564, we have to find the factors of both numbers and list the highest common factor.
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The HCF of 846,564 is 282.
Lets's calculate GCF of 846,564
| 2 | 846, 564 |
| 3 | 423, 282 |
| 47 | 141, 94 |
| 3, 2 |
∴ So the GCF of the given numbers is 2 x 3 x 47 = 282
Greatest Common Factor of 846,564 By Matching Biggest Common Factor Method
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 846,564 . The biggest common factor number is the GCF number.
So the greatest common factor 846,564 is 282.
Lets's calculate LCM of 74,9697
Given numbers has no common factors except 1. So, there LCM is their product i.e 717578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 282/717578
Therefore, the GCF of Fractions 846/74,564/9697 is 282/717578
Least Common Multiple of 74,9697 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 74,9697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,9697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,9697) x common factors =1 x 1 = 1
LCM(74,9697) = ( 74 × 9697 ) / 1
LCM(74,9697) = 717578 / 1
LCM(74,9697) = 717578
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FAQs on GCF of Fractions of 846/74, 564/9697
1. What is the HCF of 846,564?
The HCF of 846,564 is 282
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 846/74, 564/9697?
Answer: GCF of Numerators as per given numbers 846/74, 564/9697 is
GCF of Numerators i.e. for 846,564 is 282
LCM of denominators i.e. for 74,9697 is 717578.
Thus, GCF of Fractions is 282/717578.Finally, GCF of Fractions for 846/74, 564/9697 is 282/717578.