GCF of 948/874, 938/988, 436/362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 948/874, 938/988, 436/362 i.e 2/4113044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 948/874, 938/988, 436/362.
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 948/874,938/988,436/362?
Given fractions are 948/874,938/988,436/362
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 948/874,938/988,436/362, numerators are 948,938,436
Denominators are 874,988,362
The GCF of 948,938,436 is 2 .
LCM of 874,988,362 is 4113044.
The greatest common factor of 948/874,938/988,436/362 = [GCF of 948,938,436]/[LCM of 874,988,362]= 2/4113044
Therefore, the GCF of 948/874,938/988,436/362 is 2/4113044.
To find the highest common factor of 948,938,436, we have to find the factors of both numbers and list the highest common factor.
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The factors of 436 are 1, 2, 4, 109, 218, 436
The HCF of 948,938,436 is 2.
Lets's calculate GCF of 948,938,436
| 2 | 948, 938, 436 |
| 474, 469, 218 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 948,938,436 By Matching Biggest Common Factor Method
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Now, list down the factors of 436
:1,2,4,109,218,436
Greatest Common Factor
We found the factors 948,938,436 . The biggest common factor number is the GCF number.
So the greatest common factor 948,938,436 is 2.
Lets's calculate LCM of 874,988,362
| 2 | 874, 988, 362 |
| 19 | 437, 494, 181 |
| 23, 26, 181 |
∴ So the LCM of the given numbers is 2 x 19 x 23 x 26 x 181 = 4113044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4113044
Therefore, the GCF of Fractions 948/874,938/988,436/362 is 2/4113044
Least Common Multiple of 874,988,362 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 874,988,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,988,362) = 2
common factors(in case of two or more numbers have common factors) = 38
GCF(874,988,362) x common factors =2 x 38 = 76
LCM(874,988,362) = ( 874 × 988 × 362 ) / 76
LCM(874,988,362) = 312591344 / 76
LCM(874,988,362) = 4113044
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FAQs on GCF of Fractions of 948/874, 938/988, 436/362
1. What is the HCF of 948,938,436?
The HCF of 948,938,436 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 948/874, 938/988, 436/362?
Answer: GCF of Numerators as per given numbers 948/874, 938/988, 436/362 is
GCF of Numerators i.e. for 948,938,436 is 2
LCM of denominators i.e. for 874,988,362 is 4113044.
Thus, GCF of Fractions is 2/4113044.Finally, GCF of Fractions for 948/874, 938/988, 436/362 is 2/4113044.