GCF of 4907/957, 8920/7678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4907/957, 8920/7678 i.e 1/667986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4907/957, 8920/7678.
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 4907/957,8920/7678?
Given fractions are 4907/957,8920/7678
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 4907/957,8920/7678, numerators are 4907,8920
Denominators are 957,7678
The GCF of 4907,8920 is 1 .
LCM of 957,7678 is 667986.
The greatest common factor of 4907/957,8920/7678 = [GCF of 4907,8920]/[LCM of 957,7678]= 1/667986
Therefore, the GCF of 4907/957,8920/7678 is 1/667986.
To find the highest common factor of 4907,8920, we have to find the factors of both numbers and list the highest common factor.
The factors of 4907 are 1, 7, 701, 4907
The factors of 8920 are 1, 2, 4, 5, 8, 10, 20, 40, 223, 446, 892, 1115, 1784, 2230, 4460, 8920
The HCF of 4907,8920 is 1.
Lets's calculate GCF of 4907,8920
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4907,8920 By Matching Biggest Common Factor Method
Now, list down the factors of 4907
:1,7,701,4907
Now, list down the factors of 8920
:1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920
Greatest Common Factor
We found the factors 4907,8920 . The biggest common factor number is the GCF number.
So the greatest common factor 4907,8920 is 1.
Lets's calculate LCM of 957,7678
| 11 | 957, 7678 |
| 87, 698 |
∴ So the LCM of the given numbers is 11 x 87 x 698 = 667986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/667986
Therefore, the GCF of Fractions 4907/957,8920/7678 is 1/667986
Least Common Multiple of 957,7678 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 957,7678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,7678) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(957,7678) x common factors =11 x 1 = 11
LCM(957,7678) = ( 957 × 7678 ) / 11
LCM(957,7678) = 7347846 / 11
LCM(957,7678) = 667986
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FAQs on GCF of Fractions of 4907/957, 8920/7678
1. What is the HCF of 4907,8920?
The HCF of 4907,8920 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 4907/957, 8920/7678?
Answer: GCF of Numerators as per given numbers 4907/957, 8920/7678 is
GCF of Numerators i.e. for 4907,8920 is 1
LCM of denominators i.e. for 957,7678 is 667986.
Thus, GCF of Fractions is 1/667986.Finally, GCF of Fractions for 4907/957, 8920/7678 is 1/667986.