GCF of 9968/807, 7654/622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9968/807, 7654/622 i.e 178/501954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9968/807, 7654/622.
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 9968/807,7654/622?
Given fractions are 9968/807,7654/622
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 9968/807,7654/622, numerators are 9968,7654
Denominators are 807,622
The GCF of 9968,7654 is 178 .
LCM of 807,622 is 501954.
The greatest common factor of 9968/807,7654/622 = [GCF of 9968,7654]/[LCM of 807,622]= 178/501954
Therefore, the GCF of 9968/807,7654/622 is 178/501954.
To find the highest common factor of 9968,7654, we have to find the factors of both numbers and list the highest common factor.
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The factors of 7654 are 1, 2, 43, 86, 89, 178, 3827, 7654
The HCF of 9968,7654 is 178.
Lets's calculate GCF of 9968,7654
| 2 | 9968, 7654 |
| 89 | 4984, 3827 |
| 56, 43 |
∴ So the GCF of the given numbers is 2 x 89 = 178
Greatest Common Factor of 9968,7654 By Matching Biggest Common Factor Method
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Now, list down the factors of 7654
:1,2,43,86,89,178,3827,7654
Greatest Common Factor
We found the factors 9968,7654 . The biggest common factor number is the GCF number.
So the greatest common factor 9968,7654 is 178.
Lets's calculate LCM of 807,622
Given numbers has no common factors except 1. So, there LCM is their product i.e 501954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 178/501954
Therefore, the GCF of Fractions 9968/807,7654/622 is 178/501954
Least Common Multiple of 807,622 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 807,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,622) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,622) x common factors =1 x 1 = 1
LCM(807,622) = ( 807 × 622 ) / 1
LCM(807,622) = 501954 / 1
LCM(807,622) = 501954
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FAQs on GCF of Fractions of 9968/807, 7654/622
1. What is the HCF of 9968,7654?
The HCF of 9968,7654 is 178
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 9968/807, 7654/622?
Answer: GCF of Numerators as per given numbers 9968/807, 7654/622 is
GCF of Numerators i.e. for 9968,7654 is 178
LCM of denominators i.e. for 807,622 is 501954.
Thus, GCF of Fractions is 178/501954.Finally, GCF of Fractions for 9968/807, 7654/622 is 178/501954.