Highest Common Factor of 599, 952 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 599, 952 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 599, 952 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 599, 952 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 599, 952 is 1.
HCF(599, 952) = 1
HCF of 599, 952 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 599, 952 is 1.
Highest Common Factor of 599,952 is 1
Step 1: Since 952 > 599, we apply the division lemma to 952 and 599, to get
952 = 599 x 1 + 353
Step 2: Since the reminder 599 ≠ 0, we apply division lemma to 353 and 599, to get
599 = 353 x 1 + 246
Step 3: We consider the new divisor 353 and the new remainder 246, and apply the division lemma to get
353 = 246 x 1 + 107
We consider the new divisor 246 and the new remainder 107,and apply the division lemma to get
246 = 107 x 2 + 32
We consider the new divisor 107 and the new remainder 32,and apply the division lemma to get
107 = 32 x 3 + 11
We consider the new divisor 32 and the new remainder 11,and apply the division lemma to get
32 = 11 x 2 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 599 and 952 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(32,11) = HCF(107,32) = HCF(246,107) = HCF(353,246) = HCF(599,353) = HCF(952,599) .
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Frequently Asked Questions on HCF of 599, 952 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 599, 952?
Answer: HCF of 599, 952 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 599, 952 using Euclid's Algorithm?
Answer: For arbitrary numbers 599, 952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.