GCF of 70/564, 434/705, 156/596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 70/564, 434/705, 156/596 i.e 2/420180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/564, 434/705, 156/596.
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 70/564,434/705,156/596?
Given fractions are 70/564,434/705,156/596
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 70/564,434/705,156/596, numerators are 70,434,156
Denominators are 564,705,596
The GCF of 70,434,156 is 2 .
LCM of 564,705,596 is 420180.
The greatest common factor of 70/564,434/705,156/596 = [GCF of 70,434,156]/[LCM of 564,705,596]= 2/420180
Therefore, the GCF of 70/564,434/705,156/596 is 2/420180.
To find the highest common factor of 70,434,156, 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 434 are 1, 2, 7, 14, 31, 62, 217, 434
The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
The HCF of 70,434,156 is 2.
Lets's calculate GCF of 70,434,156
| 2 | 70, 434, 156 |
| 35, 217, 78 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 70,434,156 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 434
:1,2,7,14,31,62,217,434
Now, list down the factors of 156
:1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 70,434,156 . The biggest common factor number is the GCF number.
So the greatest common factor 70,434,156 is 2.
Lets's calculate LCM of 564,705,596
| 2 | 564, 705, 596 |
| 2 | 282, 705, 298 |
| 3 | 141, 705, 149 |
| 47 | 47, 235, 149 |
| 1, 5, 149 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 1 x 5 x 149 = 420180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/420180
Therefore, the GCF of Fractions 70/564,434/705,156/596 is 2/420180
Least Common Multiple of 564,705,596 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 564,705,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,705,596) = 1
common factors(in case of two or more numbers have common factors) = 564
GCF(564,705,596) x common factors =1 x 564 = 564
LCM(564,705,596) = ( 564 × 705 × 596 ) / 564
LCM(564,705,596) = 236981520 / 564
LCM(564,705,596) = 420180
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FAQs on GCF of Fractions of 70/564, 434/705, 156/596
1. What is the HCF of 70,434,156?
The HCF of 70,434,156 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 70/564, 434/705, 156/596?
Answer: GCF of Numerators as per given numbers 70/564, 434/705, 156/596 is
GCF of Numerators i.e. for 70,434,156 is 2
LCM of denominators i.e. for 564,705,596 is 420180.
Thus, GCF of Fractions is 2/420180.Finally, GCF of Fractions for 70/564, 434/705, 156/596 is 2/420180.