GCF of 98/174, 748/618, 804/788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 98/174, 748/618, 804/788 i.e 2/7061268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/174, 748/618, 804/788.
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 98/174,748/618,804/788?
Given fractions are 98/174,748/618,804/788
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 98/174,748/618,804/788, numerators are 98,748,804
Denominators are 174,618,788
The GCF of 98,748,804 is 2 .
LCM of 174,618,788 is 7061268.
The greatest common factor of 98/174,748/618,804/788 = [GCF of 98,748,804]/[LCM of 174,618,788]= 2/7061268
Therefore, the GCF of 98/174,748/618,804/788 is 2/7061268.
To find the highest common factor of 98,748,804, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
The HCF of 98,748,804 is 2.
Lets's calculate GCF of 98,748,804
| 2 | 98, 748, 804 |
| 49, 374, 402 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 98,748,804 By Matching Biggest Common Factor Method
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 748
:1,2,4,11,17,22,34,44,68,187,374,748
Now, list down the factors of 804
:1,2,3,4,6,12,67,134,201,268,402,804
Greatest Common Factor
We found the factors 98,748,804 . The biggest common factor number is the GCF number.
So the greatest common factor 98,748,804 is 2.
Lets's calculate LCM of 174,618,788
| 2 | 174, 618, 788 |
| 3 | 87, 309, 394 |
| 29, 103, 394 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 103 x 394 = 7061268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7061268
Therefore, the GCF of Fractions 98/174,748/618,804/788 is 2/7061268
Least Common Multiple of 174,618,788 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 174,618,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,618,788) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(174,618,788) x common factors =2 x 6 = 12
LCM(174,618,788) = ( 174 × 618 × 788 ) / 12
LCM(174,618,788) = 84735216 / 12
LCM(174,618,788) = 7061268
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FAQs on GCF of Fractions of 98/174, 748/618, 804/788
1. What is the HCF of 98,748,804?
The HCF of 98,748,804 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 98/174, 748/618, 804/788?
Answer: GCF of Numerators as per given numbers 98/174, 748/618, 804/788 is
GCF of Numerators i.e. for 98,748,804 is 2
LCM of denominators i.e. for 174,618,788 is 7061268.
Thus, GCF of Fractions is 2/7061268.Finally, GCF of Fractions for 98/174, 748/618, 804/788 is 2/7061268.