Highest Common Factor of 9968, 4197 using Euclid's algorithm
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 9968, 4197 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9968, 4197 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 9968, 4197 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 9968, 4197 is 1.
HCF(9968, 4197) = 1
HCF of 9968, 4197 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9968, 4197 is 1.
Highest Common Factor of 9968,4197 is 1
Step 1: Since 9968 > 4197, we apply the division lemma to 9968 and 4197, to get
9968 = 4197 x 2 + 1574
Step 2: Since the reminder 4197 ≠ 0, we apply division lemma to 1574 and 4197, to get
4197 = 1574 x 2 + 1049
Step 3: We consider the new divisor 1574 and the new remainder 1049, and apply the division lemma to get
1574 = 1049 x 1 + 525
We consider the new divisor 1049 and the new remainder 525,and apply the division lemma to get
1049 = 525 x 1 + 524
We consider the new divisor 525 and the new remainder 524,and apply the division lemma to get
525 = 524 x 1 + 1
We consider the new divisor 524 and the new remainder 1,and apply the division lemma to get
524 = 1 x 524 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9968 and 4197 is 1
Notice that 1 = HCF(524,1) = HCF(525,524) = HCF(1049,525) = HCF(1574,1049) = HCF(4197,1574) = HCF(9968,4197) .
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Frequently Asked Questions on HCF of 9968, 4197 using Euclid's Algorithm
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 9968, 4197?
Answer: HCF of 9968, 4197 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9968, 4197 using Euclid's Algorithm?
Answer: For arbitrary numbers 9968, 4197 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.