GCF of 70/425, 55/965, 456/282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 70/425, 55/965, 456/282 i.e 1/23131050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/425, 55/965, 456/282.
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 70/425,55/965,456/282?
Given fractions are 70/425,55/965,456/282
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 70/425,55/965,456/282, numerators are 70,55,456
Denominators are 425,965,282
The GCF of 70,55,456 is 1 .
LCM of 425,965,282 is 23131050.
The greatest common factor of 70/425,55/965,456/282 = [GCF of 70,55,456]/[LCM of 425,965,282]= 1/23131050
Therefore, the GCF of 70/425,55/965,456/282 is 1/23131050.
To find the highest common factor of 70,55,456, 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 55 are 1, 5, 11, 55
The factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
The HCF of 70,55,456 is 1.
Lets's calculate GCF of 70,55,456
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 70,55,456 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 55
:1,5,11,55
Now, list down the factors of 456
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 70,55,456 . The biggest common factor number is the GCF number.
So the greatest common factor 70,55,456 is 1.
Lets's calculate LCM of 425,965,282
| 5 | 425, 965, 282 |
| 85, 193, 282 |
∴ So the LCM of the given numbers is 5 x 85 x 193 x 282 = 23131050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23131050
Therefore, the GCF of Fractions 70/425,55/965,456/282 is 1/23131050
Least Common Multiple of 425,965,282 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 425,965,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,965,282) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(425,965,282) x common factors =1 x 5 = 5
LCM(425,965,282) = ( 425 × 965 × 282 ) / 5
LCM(425,965,282) = 115655250 / 5
LCM(425,965,282) = 23131050
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FAQs on GCF of Fractions of 70/425, 55/965, 456/282
1. What is the HCF of 70,55,456?
The HCF of 70,55,456 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 70/425, 55/965, 456/282?
Answer: GCF of Numerators as per given numbers 70/425, 55/965, 456/282 is
GCF of Numerators i.e. for 70,55,456 is 1
LCM of denominators i.e. for 425,965,282 is 23131050.
Thus, GCF of Fractions is 1/23131050.Finally, GCF of Fractions for 70/425, 55/965, 456/282 is 1/23131050.