GCF of 6952/828, 3634/181
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6952/828, 3634/181 i.e 158/149868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6952/828, 3634/181.
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 6952/828,3634/181?
Given fractions are 6952/828,3634/181
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 6952/828,3634/181, numerators are 6952,3634
Denominators are 828,181
The GCF of 6952,3634 is 158 .
LCM of 828,181 is 149868.
The greatest common factor of 6952/828,3634/181 = [GCF of 6952,3634]/[LCM of 828,181]= 158/149868
Therefore, the GCF of 6952/828,3634/181 is 158/149868.
To find the highest common factor of 6952,3634, we have to find the factors of both numbers and list the highest common factor.
The factors of 6952 are 1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952
The factors of 3634 are 1, 2, 23, 46, 79, 158, 1817, 3634
The HCF of 6952,3634 is 158.
Lets's calculate GCF of 6952,3634
| 2 | 6952, 3634 |
| 79 | 3476, 1817 |
| 44, 23 |
∴ So the GCF of the given numbers is 2 x 79 = 158
Greatest Common Factor of 6952,3634 By Matching Biggest Common Factor Method
Now, list down the factors of 6952
:1,2,4,8,11,22,44,79,88,158,316,632,869,1738,3476,6952
Now, list down the factors of 3634
:1,2,23,46,79,158,1817,3634
Greatest Common Factor
We found the factors 6952,3634 . The biggest common factor number is the GCF number.
So the greatest common factor 6952,3634 is 158.
Lets's calculate LCM of 828,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 149868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 158/149868
Therefore, the GCF of Fractions 6952/828,3634/181 is 158/149868
Least Common Multiple of 828,181 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 828,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,181) x common factors =1 x 1 = 1
LCM(828,181) = ( 828 × 181 ) / 1
LCM(828,181) = 149868 / 1
LCM(828,181) = 149868
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FAQs on GCF of Fractions of 6952/828, 3634/181
1. What is the HCF of 6952,3634?
The HCF of 6952,3634 is 158
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 6952/828, 3634/181?
Answer: GCF of Numerators as per given numbers 6952/828, 3634/181 is
GCF of Numerators i.e. for 6952,3634 is 158
LCM of denominators i.e. for 828,181 is 149868.
Thus, GCF of Fractions is 158/149868.Finally, GCF of Fractions for 6952/828, 3634/181 is 158/149868.