GCF of 70/724, 849/671, 107/272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 70/724, 849/671, 107/272 i.e 1/33034672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/724, 849/671, 107/272.
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 70/724,849/671,107/272?
Given fractions are 70/724,849/671,107/272
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 70/724,849/671,107/272, numerators are 70,849,107
Denominators are 724,671,272
The GCF of 70,849,107 is 1 .
LCM of 724,671,272 is 33034672.
The greatest common factor of 70/724,849/671,107/272 = [GCF of 70,849,107]/[LCM of 724,671,272]= 1/33034672
Therefore, the GCF of 70/724,849/671,107/272 is 1/33034672.
To find the highest common factor of 70,849,107, 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 849 are 1, 3, 283, 849
The factors of 107 are 1, 107
The HCF of 70,849,107 is 1.
Lets's calculate GCF of 70,849,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 70,849,107 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 849
:1,3,283,849
Now, list down the factors of 107
:1,107
Greatest Common Factor
We found the factors 70,849,107 . The biggest common factor number is the GCF number.
So the greatest common factor 70,849,107 is 1.
Lets's calculate LCM of 724,671,272
| 2 | 724, 671, 272 |
| 2 | 362, 671, 136 |
| 181, 671, 68 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 671 x 68 = 33034672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33034672
Therefore, the GCF of Fractions 70/724,849/671,107/272 is 1/33034672
Least Common Multiple of 724,671,272 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 724,671,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,671,272) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(724,671,272) x common factors =1 x 4 = 4
LCM(724,671,272) = ( 724 × 671 × 272 ) / 4
LCM(724,671,272) = 132138688 / 4
LCM(724,671,272) = 33034672
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FAQs on GCF of Fractions of 70/724, 849/671, 107/272
1. What is the HCF of 70,849,107?
The HCF of 70,849,107 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 70/724, 849/671, 107/272?
Answer: GCF of Numerators as per given numbers 70/724, 849/671, 107/272 is
GCF of Numerators i.e. for 70,849,107 is 1
LCM of denominators i.e. for 724,671,272 is 33034672.
Thus, GCF of Fractions is 1/33034672.Finally, GCF of Fractions for 70/724, 849/671, 107/272 is 1/33034672.