GCF of 8624/604, 8767/9628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8624/604, 8767/9628 i.e 11/1453828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8624/604, 8767/9628.
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 8624/604,8767/9628?
Given fractions are 8624/604,8767/9628
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 8624/604,8767/9628, numerators are 8624,8767
Denominators are 604,9628
The GCF of 8624,8767 is 11 .
LCM of 604,9628 is 1453828.
The greatest common factor of 8624/604,8767/9628 = [GCF of 8624,8767]/[LCM of 604,9628]= 11/1453828
Therefore, the GCF of 8624/604,8767/9628 is 11/1453828.
To find the highest common factor of 8624,8767, we have to find the factors of both numbers and list the highest common factor.
The factors of 8624 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312, 8624
The factors of 8767 are 1, 11, 797, 8767
The HCF of 8624,8767 is 11.
Lets's calculate GCF of 8624,8767
| 11 | 8624, 8767 |
| 784, 797 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8624,8767 By Matching Biggest Common Factor Method
Now, list down the factors of 8624
:1,2,4,7,8,11,14,16,22,28,44,49,56,77,88,98,112,154,176,196,308,392,539,616,784,1078,1232,2156,4312,8624
Now, list down the factors of 8767
:1,11,797,8767
Greatest Common Factor
We found the factors 8624,8767 . The biggest common factor number is the GCF number.
So the greatest common factor 8624,8767 is 11.
Lets's calculate LCM of 604,9628
| 2 | 604, 9628 |
| 2 | 302, 4814 |
| 151, 2407 |
∴ So the LCM of the given numbers is 2 x 2 x 151 x 2407 = 1453828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1453828
Therefore, the GCF of Fractions 8624/604,8767/9628 is 11/1453828
Least Common Multiple of 604,9628 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 604,9628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,9628) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(604,9628) x common factors =4 x 1 = 4
LCM(604,9628) = ( 604 × 9628 ) / 4
LCM(604,9628) = 5815312 / 4
LCM(604,9628) = 1453828
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FAQs on GCF of Fractions of 8624/604, 8767/9628
1. What is the HCF of 8624,8767?
The HCF of 8624,8767 is 11
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 8624/604, 8767/9628?
Answer: GCF of Numerators as per given numbers 8624/604, 8767/9628 is
GCF of Numerators i.e. for 8624,8767 is 11
LCM of denominators i.e. for 604,9628 is 1453828.
Thus, GCF of Fractions is 11/1453828.Finally, GCF of Fractions for 8624/604, 8767/9628 is 11/1453828.