GCF of 70/64, 838/75, 996/491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 70/64, 838/75, 996/491 i.e 2/2356800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/64, 838/75, 996/491.
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 70/64,838/75,996/491?
Given fractions are 70/64,838/75,996/491
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 70/64,838/75,996/491, numerators are 70,838,996
Denominators are 64,75,491
The GCF of 70,838,996 is 2 .
LCM of 64,75,491 is 2356800.
The greatest common factor of 70/64,838/75,996/491 = [GCF of 70,838,996]/[LCM of 64,75,491]= 2/2356800
Therefore, the GCF of 70/64,838/75,996/491 is 2/2356800.
To find the highest common factor of 70,838,996, we have to find the factors of both numbers and list the highest common factor.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 838 are 1, 2, 419, 838
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
The HCF of 70,838,996 is 2.
Lets's calculate GCF of 70,838,996
| 2 | 70, 838, 996 |
| 35, 419, 498 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 70,838,996 By Matching Biggest Common Factor Method
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 838
:1,2,419,838
Now, list down the factors of 996
:1,2,3,4,6,12,83,166,249,332,498,996
Greatest Common Factor
We found the factors 70,838,996 . The biggest common factor number is the GCF number.
So the greatest common factor 70,838,996 is 2.
Lets's calculate LCM of 64,75,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 2356800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2356800
Therefore, the GCF of Fractions 70/64,838/75,996/491 is 2/2356800
Least Common Multiple of 64,75,491 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 64,75,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,75,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,75,491) x common factors =1 x 1 = 1
LCM(64,75,491) = ( 64 × 75 × 491 ) / 1
LCM(64,75,491) = 2356800 / 1
LCM(64,75,491) = 2356800
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FAQs on GCF of Fractions of 70/64, 838/75, 996/491
1. What is the HCF of 70,838,996?
The HCF of 70,838,996 is 2
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 70/64, 838/75, 996/491?
Answer: GCF of Numerators as per given numbers 70/64, 838/75, 996/491 is
GCF of Numerators i.e. for 70,838,996 is 2
LCM of denominators i.e. for 64,75,491 is 2356800.
Thus, GCF of Fractions is 2/2356800.Finally, GCF of Fractions for 70/64, 838/75, 996/491 is 2/2356800.