GCF of 49/253, 546/437, 700/966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 49/253, 546/437, 700/966 i.e 7/201894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/253, 546/437, 700/966.
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 49/253,546/437,700/966?
Given fractions are 49/253,546/437,700/966
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 49/253,546/437,700/966, numerators are 49,546,700
Denominators are 253,437,966
The GCF of 49,546,700 is 7 .
LCM of 253,437,966 is 201894.
The greatest common factor of 49/253,546/437,700/966 = [GCF of 49,546,700]/[LCM of 253,437,966]= 7/201894
Therefore, the GCF of 49/253,546/437,700/966 is 7/201894.
To find the highest common factor of 49,546,700, we have to find the factors of both numbers and list the highest common factor.
The factors of 49 are 1, 7, 49
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
The HCF of 49,546,700 is 7.
Lets's calculate GCF of 49,546,700
| 7 | 49, 546, 700 |
| 7, 78, 100 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 49,546,700 By Matching Biggest Common Factor Method
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Now, list down the factors of 700
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Greatest Common Factor
We found the factors 49,546,700 . The biggest common factor number is the GCF number.
So the greatest common factor 49,546,700 is 7.
Lets's calculate LCM of 253,437,966
| 23 | 253, 437, 966 |
| 11, 19, 42 |
∴ So the LCM of the given numbers is 23 x 11 x 19 x 42 = 201894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/201894
Therefore, the GCF of Fractions 49/253,546/437,700/966 is 7/201894
Least Common Multiple of 253,437,966 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 253,437,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,437,966) = 23
common factors(in case of two or more numbers have common factors) = 23
GCF(253,437,966) x common factors =23 x 23 = 529
LCM(253,437,966) = ( 253 × 437 × 966 ) / 529
LCM(253,437,966) = 106801926 / 529
LCM(253,437,966) = 201894
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FAQs on GCF of Fractions of 49/253, 546/437, 700/966
1. What is the HCF of 49,546,700?
The HCF of 49,546,700 is 7
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 49/253, 546/437, 700/966?
Answer: GCF of Numerators as per given numbers 49/253, 546/437, 700/966 is
GCF of Numerators i.e. for 49,546,700 is 7
LCM of denominators i.e. for 253,437,966 is 201894.
Thus, GCF of Fractions is 7/201894.Finally, GCF of Fractions for 49/253, 546/437, 700/966 is 7/201894.