GCF of 4904/637, 8436/8931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4904/637, 8436/8931 i.e 4/437619 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4904/637, 8436/8931.
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 4904/637,8436/8931?
Given fractions are 4904/637,8436/8931
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 4904/637,8436/8931, numerators are 4904,8436
Denominators are 637,8931
The GCF of 4904,8436 is 4 .
LCM of 637,8931 is 437619.
The greatest common factor of 4904/637,8436/8931 = [GCF of 4904,8436]/[LCM of 637,8931]= 4/437619
Therefore, the GCF of 4904/637,8436/8931 is 4/437619.
To find the highest common factor of 4904,8436, we have to find the factors of both numbers and list the highest common factor.
The factors of 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904
The factors of 8436 are 1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436
The HCF of 4904,8436 is 4.
Lets's calculate GCF of 4904,8436
| 2 | 4904, 8436 |
| 2 | 2452, 4218 |
| 1226, 2109 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4904,8436 By Matching Biggest Common Factor Method
Now, list down the factors of 4904
:1,2,4,8,613,1226,2452,4904
Now, list down the factors of 8436
:1,2,3,4,6,12,19,37,38,57,74,76,111,114,148,222,228,444,703,1406,2109,2812,4218,8436
Greatest Common Factor
We found the factors 4904,8436 . The biggest common factor number is the GCF number.
So the greatest common factor 4904,8436 is 4.
Lets's calculate LCM of 637,8931
| 13 | 637, 8931 |
| 49, 687 |
∴ So the LCM of the given numbers is 13 x 49 x 687 = 437619
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/437619
Therefore, the GCF of Fractions 4904/637,8436/8931 is 4/437619
Least Common Multiple of 637,8931 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 637,8931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,8931) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(637,8931) x common factors =13 x 1 = 13
LCM(637,8931) = ( 637 × 8931 ) / 13
LCM(637,8931) = 5689047 / 13
LCM(637,8931) = 437619
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FAQs on GCF of Fractions of 4904/637, 8436/8931
1. What is the HCF of 4904,8436?
The HCF of 4904,8436 is 4
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 4904/637, 8436/8931?
Answer: GCF of Numerators as per given numbers 4904/637, 8436/8931 is
GCF of Numerators i.e. for 4904,8436 is 4
LCM of denominators i.e. for 637,8931 is 437619.
Thus, GCF of Fractions is 4/437619.Finally, GCF of Fractions for 4904/637, 8436/8931 is 4/437619.