GCF of 7904/648, 7574/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7904/648, 7574/706 i.e 2/228744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7904/648, 7574/706.
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 7904/648,7574/706?
Given fractions are 7904/648,7574/706
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 7904/648,7574/706, numerators are 7904,7574
Denominators are 648,706
The GCF of 7904,7574 is 2 .
LCM of 648,706 is 228744.
The greatest common factor of 7904/648,7574/706 = [GCF of 7904,7574]/[LCM of 648,706]= 2/228744
Therefore, the GCF of 7904/648,7574/706 is 2/228744.
To find the highest common factor of 7904,7574, we have to find the factors of both numbers and list the highest common factor.
The factors of 7904 are 1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 76, 104, 152, 208, 247, 304, 416, 494, 608, 988, 1976, 3952, 7904
The factors of 7574 are 1, 2, 7, 14, 541, 1082, 3787, 7574
The HCF of 7904,7574 is 2.
Lets's calculate GCF of 7904,7574
| 2 | 7904, 7574 |
| 3952, 3787 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7904,7574 By Matching Biggest Common Factor Method
Now, list down the factors of 7904
:1,2,4,8,13,16,19,26,32,38,52,76,104,152,208,247,304,416,494,608,988,1976,3952,7904
Now, list down the factors of 7574
:1,2,7,14,541,1082,3787,7574
Greatest Common Factor
We found the factors 7904,7574 . The biggest common factor number is the GCF number.
So the greatest common factor 7904,7574 is 2.
Lets's calculate LCM of 648,706
| 2 | 648, 706 |
| 324, 353 |
∴ So the LCM of the given numbers is 2 x 324 x 353 = 228744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/228744
Therefore, the GCF of Fractions 7904/648,7574/706 is 2/228744
Least Common Multiple of 648,706 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 648,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(648,706) x common factors =2 x 1 = 2
LCM(648,706) = ( 648 × 706 ) / 2
LCM(648,706) = 457488 / 2
LCM(648,706) = 228744
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FAQs on GCF of Fractions of 7904/648, 7574/706
1. What is the HCF of 7904,7574?
The HCF of 7904,7574 is 2
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 7904/648, 7574/706?
Answer: GCF of Numerators as per given numbers 7904/648, 7574/706 is
GCF of Numerators i.e. for 7904,7574 is 2
LCM of denominators i.e. for 648,706 is 228744.
Thus, GCF of Fractions is 2/228744.Finally, GCF of Fractions for 7904/648, 7574/706 is 2/228744.