Highest Common Factor of 355, 896 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 355, 896 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 355, 896 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 355, 896 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 355, 896 is 1.
HCF(355, 896) = 1
HCF of 355, 896 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 355, 896 is 1.
Highest Common Factor of 355,896 is 1
Step 1: Since 896 > 355, we apply the division lemma to 896 and 355, to get
896 = 355 x 2 + 186
Step 2: Since the reminder 355 ≠ 0, we apply division lemma to 186 and 355, to get
355 = 186 x 1 + 169
Step 3: We consider the new divisor 186 and the new remainder 169, and apply the division lemma to get
186 = 169 x 1 + 17
We consider the new divisor 169 and the new remainder 17,and apply the division lemma to get
169 = 17 x 9 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 355 and 896 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(169,17) = HCF(186,169) = HCF(355,186) = HCF(896,355) .
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Frequently Asked Questions on HCF of 355, 896 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 355, 896?
Answer: HCF of 355, 896 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 355, 896 using Euclid's Algorithm?
Answer: For arbitrary numbers 355, 896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
