GCF of 3528/626, 5868/8978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3528/626, 5868/8978 i.e 36/2810114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3528/626, 5868/8978.
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 3528/626,5868/8978?
Given fractions are 3528/626,5868/8978
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 3528/626,5868/8978, numerators are 3528,5868
Denominators are 626,8978
The GCF of 3528,5868 is 36 .
LCM of 626,8978 is 2810114.
The greatest common factor of 3528/626,5868/8978 = [GCF of 3528,5868]/[LCM of 626,8978]= 36/2810114
Therefore, the GCF of 3528/626,5868/8978 is 36/2810114.
To find the highest common factor of 3528,5868, we have to find the factors of both numbers and list the highest common factor.
The factors of 3528 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764, 3528
The factors of 5868 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868
The HCF of 3528,5868 is 36.
Lets's calculate GCF of 3528,5868
| 2 | 3528, 5868 |
| 2 | 1764, 2934 |
| 3 | 882, 1467 |
| 3 | 294, 489 |
| 98, 163 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 3528,5868 By Matching Biggest Common Factor Method
Now, list down the factors of 3528
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,49,56,63,72,84,98,126,147,168,196,252,294,392,441,504,588,882,1176,1764,3528
Now, list down the factors of 5868
:1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868
Greatest Common Factor
We found the factors 3528,5868 . The biggest common factor number is the GCF number.
So the greatest common factor 3528,5868 is 36.
Lets's calculate LCM of 626,8978
| 2 | 626, 8978 |
| 313, 4489 |
∴ So the LCM of the given numbers is 2 x 313 x 4489 = 2810114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/2810114
Therefore, the GCF of Fractions 3528/626,5868/8978 is 36/2810114
Least Common Multiple of 626,8978 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 626,8978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,8978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(626,8978) x common factors =2 x 1 = 2
LCM(626,8978) = ( 626 × 8978 ) / 2
LCM(626,8978) = 5620228 / 2
LCM(626,8978) = 2810114
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3528/626, 5868/8978
1. What is the HCF of 3528,5868?
The HCF of 3528,5868 is 36
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 3528/626, 5868/8978?
Answer: GCF of Numerators as per given numbers 3528/626, 5868/8978 is
GCF of Numerators i.e. for 3528,5868 is 36
LCM of denominators i.e. for 626,8978 is 2810114.
Thus, GCF of Fractions is 36/2810114.Finally, GCF of Fractions for 3528/626, 5868/8978 is 36/2810114.