GCF of 608/24, 564/71, 762/67
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 608/24, 564/71, 762/67 i.e 2/114168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 608/24, 564/71, 762/67.
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 608/24,564/71,762/67?
Given fractions are 608/24,564/71,762/67
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 608/24,564/71,762/67, numerators are 608,564,762
Denominators are 24,71,67
The GCF of 608,564,762 is 2 .
LCM of 24,71,67 is 114168.
The greatest common factor of 608/24,564/71,762/67 = [GCF of 608,564,762]/[LCM of 24,71,67]= 2/114168
Therefore, the GCF of 608/24,564/71,762/67 is 2/114168.
To find the highest common factor of 608,564,762, we have to find the factors of both numbers and list the highest common factor.
The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The HCF of 608,564,762 is 2.
Lets's calculate GCF of 608,564,762
| 2 | 608, 564, 762 |
| 304, 282, 381 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 608,564,762 By Matching Biggest Common Factor Method
Now, list down the factors of 608
:1,2,4,8,16,19,32,38,76,152,304,608
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 608,564,762 . The biggest common factor number is the GCF number.
So the greatest common factor 608,564,762 is 2.
Lets's calculate LCM of 24,71,67
Given numbers has no common factors except 1. So, there LCM is their product i.e 114168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114168
Therefore, the GCF of Fractions 608/24,564/71,762/67 is 2/114168
Least Common Multiple of 24,71,67 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 24,71,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,71,67) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,71,67) x common factors =1 x 1 = 1
LCM(24,71,67) = ( 24 × 71 × 67 ) / 1
LCM(24,71,67) = 114168 / 1
LCM(24,71,67) = 114168
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FAQs on GCF of Fractions of 608/24, 564/71, 762/67
1. What is the HCF of 608,564,762?
The HCF of 608,564,762 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 608/24, 564/71, 762/67?
Answer: GCF of Numerators as per given numbers 608/24, 564/71, 762/67 is
GCF of Numerators i.e. for 608,564,762 is 2
LCM of denominators i.e. for 24,71,67 is 114168.
Thus, GCF of Fractions is 2/114168.Finally, GCF of Fractions for 608/24, 564/71, 762/67 is 2/114168.