Highest Common Factor of 871, 600 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 871, 600 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 871, 600 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 871, 600 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 871, 600 is 1.
HCF(871, 600) = 1
HCF of 871, 600 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 871, 600 is 1.
Highest Common Factor of 871,600 is 1
Step 1: Since 871 > 600, we apply the division lemma to 871 and 600, to get
871 = 600 x 1 + 271
Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 271 and 600, to get
600 = 271 x 2 + 58
Step 3: We consider the new divisor 271 and the new remainder 58, and apply the division lemma to get
271 = 58 x 4 + 39
We consider the new divisor 58 and the new remainder 39,and apply the division lemma to get
58 = 39 x 1 + 19
We consider the new divisor 39 and the new remainder 19,and apply the division lemma to get
39 = 19 x 2 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 871 and 600 is 1
Notice that 1 = HCF(19,1) = HCF(39,19) = HCF(58,39) = HCF(271,58) = HCF(600,271) = HCF(871,600) .
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Frequently Asked Questions on HCF of 871, 600 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 871, 600?
Answer: HCF of 871, 600 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 871, 600 using Euclid's Algorithm?
Answer: For arbitrary numbers 871, 600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.