GCF of 7896/782, 1956/1377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7896/782, 1956/1377 i.e 12/63342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7896/782, 1956/1377.
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 7896/782,1956/1377?
Given fractions are 7896/782,1956/1377
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 7896/782,1956/1377, numerators are 7896,1956
Denominators are 782,1377
The GCF of 7896,1956 is 12 .
LCM of 782,1377 is 63342.
The greatest common factor of 7896/782,1956/1377 = [GCF of 7896,1956]/[LCM of 782,1377]= 12/63342
Therefore, the GCF of 7896/782,1956/1377 is 12/63342.
To find the highest common factor of 7896,1956, we have to find the factors of both numbers and list the highest common factor.
The factors of 7896 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 56, 84, 94, 141, 168, 188, 282, 329, 376, 564, 658, 987, 1128, 1316, 1974, 2632, 3948, 7896
The factors of 1956 are 1, 2, 3, 4, 6, 12, 163, 326, 489, 652, 978, 1956
The HCF of 7896,1956 is 12.
Lets's calculate GCF of 7896,1956
| 2 | 7896, 1956 |
| 2 | 3948, 978 |
| 3 | 1974, 489 |
| 658, 163 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7896,1956 By Matching Biggest Common Factor Method
Now, list down the factors of 7896
:1,2,3,4,6,7,8,12,14,21,24,28,42,47,56,84,94,141,168,188,282,329,376,564,658,987,1128,1316,1974,2632,3948,7896
Now, list down the factors of 1956
:1,2,3,4,6,12,163,326,489,652,978,1956
Greatest Common Factor
We found the factors 7896,1956 . The biggest common factor number is the GCF number.
So the greatest common factor 7896,1956 is 12.
Lets's calculate LCM of 782,1377
| 17 | 782, 1377 |
| 46, 81 |
∴ So the LCM of the given numbers is 17 x 46 x 81 = 63342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/63342
Therefore, the GCF of Fractions 7896/782,1956/1377 is 12/63342
Least Common Multiple of 782,1377 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 782,1377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,1377) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(782,1377) x common factors =17 x 1 = 17
LCM(782,1377) = ( 782 × 1377 ) / 17
LCM(782,1377) = 1076814 / 17
LCM(782,1377) = 63342
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FAQs on GCF of Fractions of 7896/782, 1956/1377
1. What is the HCF of 7896,1956?
The HCF of 7896,1956 is 12
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 7896/782, 1956/1377?
Answer: GCF of Numerators as per given numbers 7896/782, 1956/1377 is
GCF of Numerators i.e. for 7896,1956 is 12
LCM of denominators i.e. for 782,1377 is 63342.
Thus, GCF of Fractions is 12/63342.Finally, GCF of Fractions for 7896/782, 1956/1377 is 12/63342.