GCF of 890/788, 7856/671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 890/788, 7856/671 i.e 2/528748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/788, 7856/671.
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 890/788,7856/671?
Given fractions are 890/788,7856/671
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 890/788,7856/671, numerators are 890,7856
Denominators are 788,671
The GCF of 890,7856 is 2 .
LCM of 788,671 is 528748.
The greatest common factor of 890/788,7856/671 = [GCF of 890,7856]/[LCM of 788,671]= 2/528748
Therefore, the GCF of 890/788,7856/671 is 2/528748.
To find the highest common factor of 890,7856, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 7856 are 1, 2, 4, 8, 16, 491, 982, 1964, 3928, 7856
The HCF of 890,7856 is 2.
Lets's calculate GCF of 890,7856
| 2 | 890, 7856 |
| 445, 3928 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 890,7856 By Matching Biggest Common Factor Method
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 7856
:1,2,4,8,16,491,982,1964,3928,7856
Greatest Common Factor
We found the factors 890,7856 . The biggest common factor number is the GCF number.
So the greatest common factor 890,7856 is 2.
Lets's calculate LCM of 788,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 528748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/528748
Therefore, the GCF of Fractions 890/788,7856/671 is 2/528748
Least Common Multiple of 788,671 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 788,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,671) x common factors =1 x 1 = 1
LCM(788,671) = ( 788 × 671 ) / 1
LCM(788,671) = 528748 / 1
LCM(788,671) = 528748
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FAQs on GCF of Fractions of 890/788, 7856/671
1. What is the HCF of 890,7856?
The HCF of 890,7856 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 890/788, 7856/671?
Answer: GCF of Numerators as per given numbers 890/788, 7856/671 is
GCF of Numerators i.e. for 890,7856 is 2
LCM of denominators i.e. for 788,671 is 528748.
Thus, GCF of Fractions is 2/528748.Finally, GCF of Fractions for 890/788, 7856/671 is 2/528748.