GCF of 70/766, 75/398, 524/856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 70/766, 75/398, 524/856 i.e 1/65241752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/766, 75/398, 524/856.
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 70/766,75/398,524/856?
Given fractions are 70/766,75/398,524/856
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 70/766,75/398,524/856, numerators are 70,75,524
Denominators are 766,398,856
The GCF of 70,75,524 is 1 .
LCM of 766,398,856 is 65241752.
The greatest common factor of 70/766,75/398,524/856 = [GCF of 70,75,524]/[LCM of 766,398,856]= 1/65241752
Therefore, the GCF of 70/766,75/398,524/856 is 1/65241752.
To find the highest common factor of 70,75,524, 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 75 are 1, 3, 5, 15, 25, 75
The factors of 524 are 1, 2, 4, 131, 262, 524
The HCF of 70,75,524 is 1.
Lets's calculate GCF of 70,75,524
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 70,75,524 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 75
:1,3,5,15,25,75
Now, list down the factors of 524
:1,2,4,131,262,524
Greatest Common Factor
We found the factors 70,75,524 . The biggest common factor number is the GCF number.
So the greatest common factor 70,75,524 is 1.
Lets's calculate LCM of 766,398,856
| 2 | 766, 398, 856 |
| 383, 199, 428 |
∴ So the LCM of the given numbers is 2 x 383 x 199 x 428 = 65241752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65241752
Therefore, the GCF of Fractions 70/766,75/398,524/856 is 1/65241752
Least Common Multiple of 766,398,856 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 766,398,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,398,856) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(766,398,856) x common factors =2 x 2 = 4
LCM(766,398,856) = ( 766 × 398 × 856 ) / 4
LCM(766,398,856) = 260967008 / 4
LCM(766,398,856) = 65241752
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FAQs on GCF of Fractions of 70/766, 75/398, 524/856
1. What is the HCF of 70,75,524?
The HCF of 70,75,524 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 70/766, 75/398, 524/856?
Answer: GCF of Numerators as per given numbers 70/766, 75/398, 524/856 is
GCF of Numerators i.e. for 70,75,524 is 1
LCM of denominators i.e. for 766,398,856 is 65241752.
Thus, GCF of Fractions is 1/65241752.Finally, GCF of Fractions for 70/766, 75/398, 524/856 is 1/65241752.