GCF of 72/761, 244/662, 684/271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 72/761, 244/662, 684/271 i.e 4/136524922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/761, 244/662, 684/271.
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 72/761,244/662,684/271?
Given fractions are 72/761,244/662,684/271
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 72/761,244/662,684/271, numerators are 72,244,684
Denominators are 761,662,271
The GCF of 72,244,684 is 4 .
LCM of 761,662,271 is 136524922.
The greatest common factor of 72/761,244/662,684/271 = [GCF of 72,244,684]/[LCM of 761,662,271]= 4/136524922
Therefore, the GCF of 72/761,244/662,684/271 is 4/136524922.
To find the highest common factor of 72,244,684, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 244 are 1, 2, 4, 61, 122, 244
The factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
The HCF of 72,244,684 is 4.
Lets's calculate GCF of 72,244,684
| 2 | 72, 244, 684 |
| 2 | 36, 122, 342 |
| 18, 61, 171 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 72,244,684 By Matching Biggest Common Factor Method
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 244
:1,2,4,61,122,244
Now, list down the factors of 684
:1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Greatest Common Factor
We found the factors 72,244,684 . The biggest common factor number is the GCF number.
So the greatest common factor 72,244,684 is 4.
Lets's calculate LCM of 761,662,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 136524922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/136524922
Therefore, the GCF of Fractions 72/761,244/662,684/271 is 4/136524922
Least Common Multiple of 761,662,271 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 761,662,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,662,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,662,271) x common factors =1 x 1 = 1
LCM(761,662,271) = ( 761 × 662 × 271 ) / 1
LCM(761,662,271) = 136524922 / 1
LCM(761,662,271) = 136524922
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FAQs on GCF of Fractions of 72/761, 244/662, 684/271
1. What is the HCF of 72,244,684?
The HCF of 72,244,684 is 4
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 72/761, 244/662, 684/271?
Answer: GCF of Numerators as per given numbers 72/761, 244/662, 684/271 is
GCF of Numerators i.e. for 72,244,684 is 4
LCM of denominators i.e. for 761,662,271 is 136524922.
Thus, GCF of Fractions is 4/136524922.Finally, GCF of Fractions for 72/761, 244/662, 684/271 is 4/136524922.