GCF of 61/95, 80/70, 81/98, 39/700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 61/95, 80/70, 81/98, 39/700 i.e 1/93100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/95, 80/70, 81/98, 39/700.
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 61/95,80/70,81/98,39/700?
Given fractions are 61/95,80/70,81/98,39/700
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 61/95,80/70,81/98,39/700, numerators are 61,80,81,39
Denominators are 95,70,98,700
The GCF of 61,80,81,39 is 1 .
LCM of 95,70,98,700 is 93100.
The greatest common factor of 61/95,80/70,81/98,39/700 = [GCF of 61,80,81,39]/[LCM of 95,70,98,700]= 1/93100
Therefore, the GCF of 61/95,80/70,81/98,39/700 is 1/93100.
To find the highest common factor of 61,80,81,39, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 81 are 1, 3, 9, 27, 81
The factors of 39 are 1, 3, 13, 39
The HCF of 61,80,81,39 is 1.
Lets's calculate GCF of 61,80,81,39
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 61,80,81,39 By Matching Biggest Common Factor Method
Now, list down the factors of 61
:1,61
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 39
:1,3,13,39
Greatest Common Factor
We found the factors 61,80,81,39 . The biggest common factor number is the GCF number.
So the greatest common factor 61,80,81,39 is 1.
Lets's calculate LCM of 95,70,98,700
| 2 | 95, 70, 98, 700 |
| 5 | 95, 35, 49, 350 |
| 7 | 19, 7, 49, 70 |
| 19, 1, 7, 10 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 19 x 1 x 7 x 10 = 93100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93100
Therefore, the GCF of Fractions 61/95,80/70,81/98,39/700 is 1/93100
Least Common Multiple of 95,70,98,700 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 95,70,98,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,70,98,700) = 1
common factors(in case of two or more numbers have common factors) = 4900
GCF(95,70,98,700) x common factors =1 x 4900 = 4900
LCM(95,70,98,700) = ( 95 × 70 × 98 × 700 ) / 4900
LCM(95,70,98,700) = 456190000 / 4900
LCM(95,70,98,700) = 93100
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 61/95, 80/70, 81/98, 39/700
1. What is the HCF of 61,80,81,39?
The HCF of 61,80,81,39 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 61/95, 80/70, 81/98, 39/700?
Answer: GCF of Numerators as per given numbers 61/95, 80/70, 81/98, 39/700 is
GCF of Numerators i.e. for 61,80,81,39 is 1
LCM of denominators i.e. for 95,70,98,700 is 93100.
Thus, GCF of Fractions is 1/93100.Finally, GCF of Fractions for 61/95, 80/70, 81/98, 39/700 is 1/93100.