GCF of 5153/854, 6996/7028
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5153/854, 6996/7028 i.e 1/428708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5153/854, 6996/7028.
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 5153/854,6996/7028?
Given fractions are 5153/854,6996/7028
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 5153/854,6996/7028, numerators are 5153,6996
Denominators are 854,7028
The GCF of 5153,6996 is 1 .
LCM of 854,7028 is 428708.
The greatest common factor of 5153/854,6996/7028 = [GCF of 5153,6996]/[LCM of 854,7028]= 1/428708
Therefore, the GCF of 5153/854,6996/7028 is 1/428708.
To find the highest common factor of 5153,6996, we have to find the factors of both numbers and list the highest common factor.
The factors of 5153 are 1, 5153
The factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996
The HCF of 5153,6996 is 1.
Lets's calculate GCF of 5153,6996
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5153,6996 By Matching Biggest Common Factor Method
Now, list down the factors of 5153
:1,5153
Now, list down the factors of 6996
:1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996
Greatest Common Factor
We found the factors 5153,6996 . The biggest common factor number is the GCF number.
So the greatest common factor 5153,6996 is 1.
Lets's calculate LCM of 854,7028
| 2 | 854, 7028 |
| 7 | 427, 3514 |
| 61, 502 |
∴ So the LCM of the given numbers is 2 x 7 x 61 x 502 = 428708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/428708
Therefore, the GCF of Fractions 5153/854,6996/7028 is 1/428708
Least Common Multiple of 854,7028 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 854,7028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,7028) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(854,7028) x common factors =14 x 1 = 14
LCM(854,7028) = ( 854 × 7028 ) / 14
LCM(854,7028) = 6001912 / 14
LCM(854,7028) = 428708
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FAQs on GCF of Fractions of 5153/854, 6996/7028
1. What is the HCF of 5153,6996?
The HCF of 5153,6996 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 5153/854, 6996/7028?
Answer: GCF of Numerators as per given numbers 5153/854, 6996/7028 is
GCF of Numerators i.e. for 5153,6996 is 1
LCM of denominators i.e. for 854,7028 is 428708.
Thus, GCF of Fractions is 1/428708.Finally, GCF of Fractions for 5153/854, 6996/7028 is 1/428708.