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 9683, 5940 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9683, 5940 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 9683, 5940 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 9683, 5940 is 1.
HCF(9683, 5940) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9683, 5940 is 1.
Step 1: Since 9683 > 5940, we apply the division lemma to 9683 and 5940, to get
9683 = 5940 x 1 + 3743
Step 2: Since the reminder 5940 ≠ 0, we apply division lemma to 3743 and 5940, to get
5940 = 3743 x 1 + 2197
Step 3: We consider the new divisor 3743 and the new remainder 2197, and apply the division lemma to get
3743 = 2197 x 1 + 1546
We consider the new divisor 2197 and the new remainder 1546,and apply the division lemma to get
2197 = 1546 x 1 + 651
We consider the new divisor 1546 and the new remainder 651,and apply the division lemma to get
1546 = 651 x 2 + 244
We consider the new divisor 651 and the new remainder 244,and apply the division lemma to get
651 = 244 x 2 + 163
We consider the new divisor 244 and the new remainder 163,and apply the division lemma to get
244 = 163 x 1 + 81
We consider the new divisor 163 and the new remainder 81,and apply the division lemma to get
163 = 81 x 2 + 1
We consider the new divisor 81 and the new remainder 1,and apply the division lemma to get
81 = 1 x 81 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9683 and 5940 is 1
Notice that 1 = HCF(81,1) = HCF(163,81) = HCF(244,163) = HCF(651,244) = HCF(1546,651) = HCF(2197,1546) = HCF(3743,2197) = HCF(5940,3743) = HCF(9683,5940) .
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 9683, 5940?
Answer: HCF of 9683, 5940 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9683, 5940 using Euclid's Algorithm?
Answer: For arbitrary numbers 9683, 5940 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.