Highest Common Factor of 8355, 9956 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 8355, 9956 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8355, 9956 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 8355, 9956 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 8355, 9956 is 1.
HCF(8355, 9956) = 1
HCF of 8355, 9956 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8355, 9956 is 1.
Highest Common Factor of 8355,9956 is 1
Step 1: Since 9956 > 8355, we apply the division lemma to 9956 and 8355, to get
9956 = 8355 x 1 + 1601
Step 2: Since the reminder 8355 ≠ 0, we apply division lemma to 1601 and 8355, to get
8355 = 1601 x 5 + 350
Step 3: We consider the new divisor 1601 and the new remainder 350, and apply the division lemma to get
1601 = 350 x 4 + 201
We consider the new divisor 350 and the new remainder 201,and apply the division lemma to get
350 = 201 x 1 + 149
We consider the new divisor 201 and the new remainder 149,and apply the division lemma to get
201 = 149 x 1 + 52
We consider the new divisor 149 and the new remainder 52,and apply the division lemma to get
149 = 52 x 2 + 45
We consider the new divisor 52 and the new remainder 45,and apply the division lemma to get
52 = 45 x 1 + 7
We consider the new divisor 45 and the new remainder 7,and apply the division lemma to get
45 = 7 x 6 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 8355 and 9956 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(45,7) = HCF(52,45) = HCF(149,52) = HCF(201,149) = HCF(350,201) = HCF(1601,350) = HCF(8355,1601) = HCF(9956,8355) .
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Frequently Asked Questions on HCF of 8355, 9956 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 8355, 9956?
Answer: HCF of 8355, 9956 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8355, 9956 using Euclid's Algorithm?
Answer: For arbitrary numbers 8355, 9956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.