GCF of 70/91, 278/89, 954/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 70/91, 278/89, 954/207 i.e 2/1676493 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/91, 278/89, 954/207.
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 70/91,278/89,954/207?
Given fractions are 70/91,278/89,954/207
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 70/91,278/89,954/207, numerators are 70,278,954
Denominators are 91,89,207
The GCF of 70,278,954 is 2 .
LCM of 91,89,207 is 1676493.
The greatest common factor of 70/91,278/89,954/207 = [GCF of 70,278,954]/[LCM of 91,89,207]= 2/1676493
Therefore, the GCF of 70/91,278/89,954/207 is 2/1676493.
To find the highest common factor of 70,278,954, 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 278 are 1, 2, 139, 278
The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
The HCF of 70,278,954 is 2.
Lets's calculate GCF of 70,278,954
| 2 | 70, 278, 954 |
| 35, 139, 477 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 70,278,954 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 278
:1,2,139,278
Now, list down the factors of 954
:1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 70,278,954 . The biggest common factor number is the GCF number.
So the greatest common factor 70,278,954 is 2.
Lets's calculate LCM of 91,89,207
Given numbers has no common factors except 1. So, there LCM is their product i.e 1676493
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1676493
Therefore, the GCF of Fractions 70/91,278/89,954/207 is 2/1676493
Least Common Multiple of 91,89,207 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 91,89,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,89,207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,89,207) x common factors =1 x 1 = 1
LCM(91,89,207) = ( 91 × 89 × 207 ) / 1
LCM(91,89,207) = 1676493 / 1
LCM(91,89,207) = 1676493
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FAQs on GCF of Fractions of 70/91, 278/89, 954/207
1. What is the HCF of 70,278,954?
The HCF of 70,278,954 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 70/91, 278/89, 954/207?
Answer: GCF of Numerators as per given numbers 70/91, 278/89, 954/207 is
GCF of Numerators i.e. for 70,278,954 is 2
LCM of denominators i.e. for 91,89,207 is 1676493.
Thus, GCF of Fractions is 2/1676493.Finally, GCF of Fractions for 70/91, 278/89, 954/207 is 2/1676493.