GCF of 1368/702, 6004/9008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1368/702, 6004/9008 i.e 76/3161808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1368/702, 6004/9008.
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 1368/702,6004/9008?
Given fractions are 1368/702,6004/9008
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 1368/702,6004/9008, numerators are 1368,6004
Denominators are 702,9008
The GCF of 1368,6004 is 76 .
LCM of 702,9008 is 3161808.
The greatest common factor of 1368/702,6004/9008 = [GCF of 1368,6004]/[LCM of 702,9008]= 76/3161808
Therefore, the GCF of 1368/702,6004/9008 is 76/3161808.
To find the highest common factor of 1368,6004, we have to find the factors of both numbers and list the highest common factor.
The factors of 1368 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368
The factors of 6004 are 1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004
The HCF of 1368,6004 is 76.
Lets's calculate GCF of 1368,6004
| 2 | 1368, 6004 |
| 2 | 684, 3002 |
| 19 | 342, 1501 |
| 18, 79 |
∴ So the GCF of the given numbers is 2 x 2 x 19 = 76
Greatest Common Factor of 1368,6004 By Matching Biggest Common Factor Method
Now, list down the factors of 1368
:1,2,3,4,6,8,9,12,18,19,24,36,38,57,72,76,114,152,171,228,342,456,684,1368
Now, list down the factors of 6004
:1,2,4,19,38,76,79,158,316,1501,3002,6004
Greatest Common Factor
We found the factors 1368,6004 . The biggest common factor number is the GCF number.
So the greatest common factor 1368,6004 is 76.
Lets's calculate LCM of 702,9008
| 2 | 702, 9008 |
| 351, 4504 |
∴ So the LCM of the given numbers is 2 x 351 x 4504 = 3161808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/3161808
Therefore, the GCF of Fractions 1368/702,6004/9008 is 76/3161808
Least Common Multiple of 702,9008 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 702,9008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,9008) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(702,9008) x common factors =2 x 1 = 2
LCM(702,9008) = ( 702 × 9008 ) / 2
LCM(702,9008) = 6323616 / 2
LCM(702,9008) = 3161808
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FAQs on GCF of Fractions of 1368/702, 6004/9008
1. What is the HCF of 1368,6004?
The HCF of 1368,6004 is 76
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 1368/702, 6004/9008?
Answer: GCF of Numerators as per given numbers 1368/702, 6004/9008 is
GCF of Numerators i.e. for 1368,6004 is 76
LCM of denominators i.e. for 702,9008 is 3161808.
Thus, GCF of Fractions is 76/3161808.Finally, GCF of Fractions for 1368/702, 6004/9008 is 76/3161808.