GCF of 8078/153, 1102/4991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8078/153, 1102/4991 i.e 2/763623 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8078/153, 1102/4991.
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 8078/153,1102/4991?
Given fractions are 8078/153,1102/4991
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 8078/153,1102/4991, numerators are 8078,1102
Denominators are 153,4991
The GCF of 8078,1102 is 2 .
LCM of 153,4991 is 763623.
The greatest common factor of 8078/153,1102/4991 = [GCF of 8078,1102]/[LCM of 153,4991]= 2/763623
Therefore, the GCF of 8078/153,1102/4991 is 2/763623.
To find the highest common factor of 8078,1102, we have to find the factors of both numbers and list the highest common factor.
The factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078
The factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102
The HCF of 8078,1102 is 2.
Lets's calculate GCF of 8078,1102
| 2 | 8078, 1102 |
| 4039, 551 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8078,1102 By Matching Biggest Common Factor Method
Now, list down the factors of 8078
:1,2,7,14,577,1154,4039,8078
Now, list down the factors of 1102
:1,2,19,29,38,58,551,1102
Greatest Common Factor
We found the factors 8078,1102 . The biggest common factor number is the GCF number.
So the greatest common factor 8078,1102 is 2.
Lets's calculate LCM of 153,4991
Given numbers has no common factors except 1. So, there LCM is their product i.e 763623
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/763623
Therefore, the GCF of Fractions 8078/153,1102/4991 is 2/763623
Least Common Multiple of 153,4991 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 153,4991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,4991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,4991) x common factors =1 x 1 = 1
LCM(153,4991) = ( 153 × 4991 ) / 1
LCM(153,4991) = 763623 / 1
LCM(153,4991) = 763623
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FAQs on GCF of Fractions of 8078/153, 1102/4991
1. What is the HCF of 8078,1102?
The HCF of 8078,1102 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 8078/153, 1102/4991?
Answer: GCF of Numerators as per given numbers 8078/153, 1102/4991 is
GCF of Numerators i.e. for 8078,1102 is 2
LCM of denominators i.e. for 153,4991 is 763623.
Thus, GCF of Fractions is 2/763623.Finally, GCF of Fractions for 8078/153, 1102/4991 is 2/763623.