GCF of 887/296, 7738/3812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 887/296, 7738/3812 i.e 1/282088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/296, 7738/3812.
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 887/296,7738/3812?
Given fractions are 887/296,7738/3812
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 887/296,7738/3812, numerators are 887,7738
Denominators are 296,3812
The GCF of 887,7738 is 1 .
LCM of 296,3812 is 282088.
The greatest common factor of 887/296,7738/3812 = [GCF of 887,7738]/[LCM of 296,3812]= 1/282088
Therefore, the GCF of 887/296,7738/3812 is 1/282088.
To find the highest common factor of 887,7738, we have to find the factors of both numbers and list the highest common factor.
The factors of 887 are 1, 887
The factors of 7738 are 1, 2, 53, 73, 106, 146, 3869, 7738
The HCF of 887,7738 is 1.
Lets's calculate GCF of 887,7738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 887,7738 By Matching Biggest Common Factor Method
Now, list down the factors of 887
:1,887
Now, list down the factors of 7738
:1,2,53,73,106,146,3869,7738
Greatest Common Factor
We found the factors 887,7738 . The biggest common factor number is the GCF number.
So the greatest common factor 887,7738 is 1.
Lets's calculate LCM of 296,3812
| 2 | 296, 3812 |
| 2 | 148, 1906 |
| 74, 953 |
∴ So the LCM of the given numbers is 2 x 2 x 74 x 953 = 282088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282088
Therefore, the GCF of Fractions 887/296,7738/3812 is 1/282088
Least Common Multiple of 296,3812 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 296,3812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,3812) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(296,3812) x common factors =4 x 1 = 4
LCM(296,3812) = ( 296 × 3812 ) / 4
LCM(296,3812) = 1128352 / 4
LCM(296,3812) = 282088
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FAQs on GCF of Fractions of 887/296, 7738/3812
1. What is the HCF of 887,7738?
The HCF of 887,7738 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 887/296, 7738/3812?
Answer: GCF of Numerators as per given numbers 887/296, 7738/3812 is
GCF of Numerators i.e. for 887,7738 is 1
LCM of denominators i.e. for 296,3812 is 282088.
Thus, GCF of Fractions is 1/282088.Finally, GCF of Fractions for 887/296, 7738/3812 is 1/282088.