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 9961, 1837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9961, 1837 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 9961, 1837 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 9961, 1837 is 1.
HCF(9961, 1837) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9961, 1837 is 1.
Step 1: Since 9961 > 1837, we apply the division lemma to 9961 and 1837, to get
9961 = 1837 x 5 + 776
Step 2: Since the reminder 1837 ≠ 0, we apply division lemma to 776 and 1837, to get
1837 = 776 x 2 + 285
Step 3: We consider the new divisor 776 and the new remainder 285, and apply the division lemma to get
776 = 285 x 2 + 206
We consider the new divisor 285 and the new remainder 206,and apply the division lemma to get
285 = 206 x 1 + 79
We consider the new divisor 206 and the new remainder 79,and apply the division lemma to get
206 = 79 x 2 + 48
We consider the new divisor 79 and the new remainder 48,and apply the division lemma to get
79 = 48 x 1 + 31
We consider the new divisor 48 and the new remainder 31,and apply the division lemma to get
48 = 31 x 1 + 17
We consider the new divisor 31 and the new remainder 17,and apply the division lemma to get
31 = 17 x 1 + 14
We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get
17 = 14 x 1 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9961 and 1837 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(31,17) = HCF(48,31) = HCF(79,48) = HCF(206,79) = HCF(285,206) = HCF(776,285) = HCF(1837,776) = HCF(9961,1837) .
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 9961, 1837?
Answer: HCF of 9961, 1837 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9961, 1837 using Euclid's Algorithm?
Answer: For arbitrary numbers 9961, 1837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.