GCF of 7884/902, 3460/7963
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7884/902, 3460/7963 i.e 4/7182626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7884/902, 3460/7963.
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 7884/902,3460/7963?
Given fractions are 7884/902,3460/7963
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 7884/902,3460/7963, numerators are 7884,3460
Denominators are 902,7963
The GCF of 7884,3460 is 4 .
LCM of 902,7963 is 7182626.
The greatest common factor of 7884/902,3460/7963 = [GCF of 7884,3460]/[LCM of 902,7963]= 4/7182626
Therefore, the GCF of 7884/902,3460/7963 is 4/7182626.
To find the highest common factor of 7884,3460, we have to find the factors of both numbers and list the highest common factor.
The factors of 7884 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942, 7884
The factors of 3460 are 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730, 3460
The HCF of 7884,3460 is 4.
Lets's calculate GCF of 7884,3460
| 2 | 7884, 3460 |
| 2 | 3942, 1730 |
| 1971, 865 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7884,3460 By Matching Biggest Common Factor Method
Now, list down the factors of 7884
:1,2,3,4,6,9,12,18,27,36,54,73,108,146,219,292,438,657,876,1314,1971,2628,3942,7884
Now, list down the factors of 3460
:1,2,4,5,10,20,173,346,692,865,1730,3460
Greatest Common Factor
We found the factors 7884,3460 . The biggest common factor number is the GCF number.
So the greatest common factor 7884,3460 is 4.
Lets's calculate LCM of 902,7963
Given numbers has no common factors except 1. So, there LCM is their product i.e 7182626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7182626
Therefore, the GCF of Fractions 7884/902,3460/7963 is 4/7182626
Least Common Multiple of 902,7963 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 902,7963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,7963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(902,7963) x common factors =1 x 1 = 1
LCM(902,7963) = ( 902 × 7963 ) / 1
LCM(902,7963) = 7182626 / 1
LCM(902,7963) = 7182626
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FAQs on GCF of Fractions of 7884/902, 3460/7963
1. What is the HCF of 7884,3460?
The HCF of 7884,3460 is 4
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 7884/902, 3460/7963?
Answer: GCF of Numerators as per given numbers 7884/902, 3460/7963 is
GCF of Numerators i.e. for 7884,3460 is 4
LCM of denominators i.e. for 902,7963 is 7182626.
Thus, GCF of Fractions is 4/7182626.Finally, GCF of Fractions for 7884/902, 3460/7963 is 4/7182626.