GCF of 7358/867, 7156/6324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7358/867, 7156/6324 i.e 2/107508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7358/867, 7156/6324.
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 7358/867,7156/6324?
Given fractions are 7358/867,7156/6324
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 7358/867,7156/6324, numerators are 7358,7156
Denominators are 867,6324
The GCF of 7358,7156 is 2 .
LCM of 867,6324 is 107508.
The greatest common factor of 7358/867,7156/6324 = [GCF of 7358,7156]/[LCM of 867,6324]= 2/107508
Therefore, the GCF of 7358/867,7156/6324 is 2/107508.
To find the highest common factor of 7358,7156, we have to find the factors of both numbers and list the highest common factor.
The factors of 7358 are 1, 2, 13, 26, 283, 566, 3679, 7358
The factors of 7156 are 1, 2, 4, 1789, 3578, 7156
The HCF of 7358,7156 is 2.
Lets's calculate GCF of 7358,7156
| 2 | 7358, 7156 |
| 3679, 3578 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7358,7156 By Matching Biggest Common Factor Method
Now, list down the factors of 7358
:1,2,13,26,283,566,3679,7358
Now, list down the factors of 7156
:1,2,4,1789,3578,7156
Greatest Common Factor
We found the factors 7358,7156 . The biggest common factor number is the GCF number.
So the greatest common factor 7358,7156 is 2.
Lets's calculate LCM of 867,6324
| 3 | 867, 6324 |
| 17 | 289, 2108 |
| 17, 124 |
∴ So the LCM of the given numbers is 3 x 17 x 17 x 124 = 107508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/107508
Therefore, the GCF of Fractions 7358/867,7156/6324 is 2/107508
Least Common Multiple of 867,6324 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 867,6324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,6324) = 51
common factors(in case of two or more numbers have common factors) = 1
GCF(867,6324) x common factors =51 x 1 = 51
LCM(867,6324) = ( 867 × 6324 ) / 51
LCM(867,6324) = 5482908 / 51
LCM(867,6324) = 107508
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FAQs on GCF of Fractions of 7358/867, 7156/6324
1. What is the HCF of 7358,7156?
The HCF of 7358,7156 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 7358/867, 7156/6324?
Answer: GCF of Numerators as per given numbers 7358/867, 7156/6324 is
GCF of Numerators i.e. for 7358,7156 is 2
LCM of denominators i.e. for 867,6324 is 107508.
Thus, GCF of Fractions is 2/107508.Finally, GCF of Fractions for 7358/867, 7156/6324 is 2/107508.