Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 1292, 9863 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1292, 9863 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 1292, 9863 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 1292, 9863 is 1.
HCF(1292, 9863) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1292, 9863 is 1.
Step 1: Since 9863 > 1292, we apply the division lemma to 9863 and 1292, to get
9863 = 1292 x 7 + 819
Step 2: Since the reminder 1292 ≠ 0, we apply division lemma to 819 and 1292, to get
1292 = 819 x 1 + 473
Step 3: We consider the new divisor 819 and the new remainder 473, and apply the division lemma to get
819 = 473 x 1 + 346
We consider the new divisor 473 and the new remainder 346,and apply the division lemma to get
473 = 346 x 1 + 127
We consider the new divisor 346 and the new remainder 127,and apply the division lemma to get
346 = 127 x 2 + 92
We consider the new divisor 127 and the new remainder 92,and apply the division lemma to get
127 = 92 x 1 + 35
We consider the new divisor 92 and the new remainder 35,and apply the division lemma to get
92 = 35 x 2 + 22
We consider the new divisor 35 and the new remainder 22,and apply the division lemma to get
35 = 22 x 1 + 13
We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get
22 = 13 x 1 + 9
We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get
13 = 9 x 1 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1292 and 9863 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(35,22) = HCF(92,35) = HCF(127,92) = HCF(346,127) = HCF(473,346) = HCF(819,473) = HCF(1292,819) = HCF(9863,1292) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 1292, 9863?
Answer: HCF of 1292, 9863 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1292, 9863 using Euclid's Algorithm?
Answer: For arbitrary numbers 1292, 9863 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.