GCF of 8996/634, 8008/693
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8996/634, 8008/693 i.e 52/439362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8996/634, 8008/693.
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 8996/634,8008/693?
Given fractions are 8996/634,8008/693
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 8996/634,8008/693, numerators are 8996,8008
Denominators are 634,693
The GCF of 8996,8008 is 52 .
LCM of 634,693 is 439362.
The greatest common factor of 8996/634,8008/693 = [GCF of 8996,8008]/[LCM of 634,693]= 52/439362
Therefore, the GCF of 8996/634,8008/693 is 52/439362.
To find the highest common factor of 8996,8008, we have to find the factors of both numbers and list the highest common factor.
The factors of 8996 are 1, 2, 4, 13, 26, 52, 173, 346, 692, 2249, 4498, 8996
The factors of 8008 are 1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004, 8008
The HCF of 8996,8008 is 52.
Lets's calculate GCF of 8996,8008
| 2 | 8996, 8008 |
| 2 | 4498, 4004 |
| 13 | 2249, 2002 |
| 173, 154 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Greatest Common Factor of 8996,8008 By Matching Biggest Common Factor Method
Now, list down the factors of 8996
:1,2,4,13,26,52,173,346,692,2249,4498,8996
Now, list down the factors of 8008
:1,2,4,7,8,11,13,14,22,26,28,44,52,56,77,88,91,104,143,154,182,286,308,364,572,616,728,1001,1144,2002,4004,8008
Greatest Common Factor
We found the factors 8996,8008 . The biggest common factor number is the GCF number.
So the greatest common factor 8996,8008 is 52.
Lets's calculate LCM of 634,693
Given numbers has no common factors except 1. So, there LCM is their product i.e 439362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/439362
Therefore, the GCF of Fractions 8996/634,8008/693 is 52/439362
Least Common Multiple of 634,693 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 634,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,693) x common factors =1 x 1 = 1
LCM(634,693) = ( 634 × 693 ) / 1
LCM(634,693) = 439362 / 1
LCM(634,693) = 439362
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FAQs on GCF of Fractions of 8996/634, 8008/693
1. What is the HCF of 8996,8008?
The HCF of 8996,8008 is 52
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 8996/634, 8008/693?
Answer: GCF of Numerators as per given numbers 8996/634, 8008/693 is
GCF of Numerators i.e. for 8996,8008 is 52
LCM of denominators i.e. for 634,693 is 439362.
Thus, GCF of Fractions is 52/439362.Finally, GCF of Fractions for 8996/634, 8008/693 is 52/439362.