Highest Common Factor of 9801, 5694 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 9801, 5694 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9801, 5694 is 3 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 9801, 5694 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 9801, 5694 is 3.
HCF(9801, 5694) = 3
HCF of 9801, 5694 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9801, 5694 is 3.
Highest Common Factor of 9801,5694 is 3
Step 1: Since 9801 > 5694, we apply the division lemma to 9801 and 5694, to get
9801 = 5694 x 1 + 4107
Step 2: Since the reminder 5694 ≠ 0, we apply division lemma to 4107 and 5694, to get
5694 = 4107 x 1 + 1587
Step 3: We consider the new divisor 4107 and the new remainder 1587, and apply the division lemma to get
4107 = 1587 x 2 + 933
We consider the new divisor 1587 and the new remainder 933,and apply the division lemma to get
1587 = 933 x 1 + 654
We consider the new divisor 933 and the new remainder 654,and apply the division lemma to get
933 = 654 x 1 + 279
We consider the new divisor 654 and the new remainder 279,and apply the division lemma to get
654 = 279 x 2 + 96
We consider the new divisor 279 and the new remainder 96,and apply the division lemma to get
279 = 96 x 2 + 87
We consider the new divisor 96 and the new remainder 87,and apply the division lemma to get
96 = 87 x 1 + 9
We consider the new divisor 87 and the new remainder 9,and apply the division lemma to get
87 = 9 x 9 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9801 and 5694 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(87,9) = HCF(96,87) = HCF(279,96) = HCF(654,279) = HCF(933,654) = HCF(1587,933) = HCF(4107,1587) = HCF(5694,4107) = HCF(9801,5694) .
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Frequently Asked Questions on HCF of 9801, 5694 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 9801, 5694?
Answer: HCF of 9801, 5694 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9801, 5694 using Euclid's Algorithm?
Answer: For arbitrary numbers 9801, 5694 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.