GCF of 7602/778, 1974/455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7602/778, 1974/455 i.e 42/353990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7602/778, 1974/455.
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 7602/778,1974/455?
Given fractions are 7602/778,1974/455
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 7602/778,1974/455, numerators are 7602,1974
Denominators are 778,455
The GCF of 7602,1974 is 42 .
LCM of 778,455 is 353990.
The greatest common factor of 7602/778,1974/455 = [GCF of 7602,1974]/[LCM of 778,455]= 42/353990
Therefore, the GCF of 7602/778,1974/455 is 42/353990.
To find the highest common factor of 7602,1974, we have to find the factors of both numbers and list the highest common factor.
The factors of 7602 are 1, 2, 3, 6, 7, 14, 21, 42, 181, 362, 543, 1086, 1267, 2534, 3801, 7602
The factors of 1974 are 1, 2, 3, 6, 7, 14, 21, 42, 47, 94, 141, 282, 329, 658, 987, 1974
The HCF of 7602,1974 is 42.
Lets's calculate GCF of 7602,1974
| 2 | 7602, 1974 |
| 3 | 3801, 987 |
| 7 | 1267, 329 |
| 181, 47 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 7602,1974 By Matching Biggest Common Factor Method
Now, list down the factors of 7602
:1,2,3,6,7,14,21,42,181,362,543,1086,1267,2534,3801,7602
Now, list down the factors of 1974
:1,2,3,6,7,14,21,42,47,94,141,282,329,658,987,1974
Greatest Common Factor
We found the factors 7602,1974 . The biggest common factor number is the GCF number.
So the greatest common factor 7602,1974 is 42.
Lets's calculate LCM of 778,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 353990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/353990
Therefore, the GCF of Fractions 7602/778,1974/455 is 42/353990
Least Common Multiple of 778,455 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 778,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,455) x common factors =1 x 1 = 1
LCM(778,455) = ( 778 × 455 ) / 1
LCM(778,455) = 353990 / 1
LCM(778,455) = 353990
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FAQs on GCF of Fractions of 7602/778, 1974/455
1. What is the HCF of 7602,1974?
The HCF of 7602,1974 is 42
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 7602/778, 1974/455?
Answer: GCF of Numerators as per given numbers 7602/778, 1974/455 is
GCF of Numerators i.e. for 7602,1974 is 42
LCM of denominators i.e. for 778,455 is 353990.
Thus, GCF of Fractions is 42/353990.Finally, GCF of Fractions for 7602/778, 1974/455 is 42/353990.