GCF of 359/22, 971/78, 525/74
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 359/22, 971/78, 525/74 i.e 1/31746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 359/22, 971/78, 525/74.
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 359/22,971/78,525/74?
Given fractions are 359/22,971/78,525/74
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 359/22,971/78,525/74, numerators are 359,971,525
Denominators are 22,78,74
The GCF of 359,971,525 is 1 .
LCM of 22,78,74 is 31746.
The greatest common factor of 359/22,971/78,525/74 = [GCF of 359,971,525]/[LCM of 22,78,74]= 1/31746
Therefore, the GCF of 359/22,971/78,525/74 is 1/31746.
To find the highest common factor of 359,971,525, we have to find the factors of both numbers and list the highest common factor.
The factors of 359 are 1, 359
The factors of 971 are 1, 971
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The HCF of 359,971,525 is 1.
Lets's calculate GCF of 359,971,525
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 359,971,525 By Matching Biggest Common Factor Method
Now, list down the factors of 359
:1,359
Now, list down the factors of 971
:1,971
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 359,971,525 . The biggest common factor number is the GCF number.
So the greatest common factor 359,971,525 is 1.
Lets's calculate LCM of 22,78,74
| 2 | 22, 78, 74 |
| 11, 39, 37 |
∴ So the LCM of the given numbers is 2 x 11 x 39 x 37 = 31746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31746
Therefore, the GCF of Fractions 359/22,971/78,525/74 is 1/31746
Least Common Multiple of 22,78,74 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 22,78,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,78,74) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(22,78,74) x common factors =2 x 2 = 4
LCM(22,78,74) = ( 22 × 78 × 74 ) / 4
LCM(22,78,74) = 126984 / 4
LCM(22,78,74) = 31746
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 359/22, 971/78, 525/74
1. What is the HCF of 359,971,525?
The HCF of 359,971,525 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 359/22, 971/78, 525/74?
Answer: GCF of Numerators as per given numbers 359/22, 971/78, 525/74 is
GCF of Numerators i.e. for 359,971,525 is 1
LCM of denominators i.e. for 22,78,74 is 31746.
Thus, GCF of Fractions is 1/31746.Finally, GCF of Fractions for 359/22, 971/78, 525/74 is 1/31746.