Highest Common Factor of 9801, 4339 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, 4339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9801, 4339 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 9801, 4339 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, 4339 is 1.
HCF(9801, 4339) = 1
HCF of 9801, 4339 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, 4339 is 1.
Highest Common Factor of 9801,4339 is 1
Step 1: Since 9801 > 4339, we apply the division lemma to 9801 and 4339, to get
9801 = 4339 x 2 + 1123
Step 2: Since the reminder 4339 ≠ 0, we apply division lemma to 1123 and 4339, to get
4339 = 1123 x 3 + 970
Step 3: We consider the new divisor 1123 and the new remainder 970, and apply the division lemma to get
1123 = 970 x 1 + 153
We consider the new divisor 970 and the new remainder 153,and apply the division lemma to get
970 = 153 x 6 + 52
We consider the new divisor 153 and the new remainder 52,and apply the division lemma to get
153 = 52 x 2 + 49
We consider the new divisor 52 and the new remainder 49,and apply the division lemma to get
52 = 49 x 1 + 3
We consider the new divisor 49 and the new remainder 3,and apply the division lemma to get
49 = 3 x 16 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9801 and 4339 is 1
Notice that 1 = HCF(3,1) = HCF(49,3) = HCF(52,49) = HCF(153,52) = HCF(970,153) = HCF(1123,970) = HCF(4339,1123) = HCF(9801,4339) .
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Frequently Asked Questions on HCF of 9801, 4339 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, 4339?
Answer: HCF of 9801, 4339 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9801, 4339 using Euclid's Algorithm?
Answer: For arbitrary numbers 9801, 4339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.