Highest Common Factor of 871, 30424 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, 30424 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 871, 30424 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, 30424 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, 30424 is 1.
HCF(871, 30424) = 1
HCF of 871, 30424 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, 30424 is 1.
Highest Common Factor of 871,30424 is 1
Step 1: Since 30424 > 871, we apply the division lemma to 30424 and 871, to get
30424 = 871 x 34 + 810
Step 2: Since the reminder 871 ≠ 0, we apply division lemma to 810 and 871, to get
871 = 810 x 1 + 61
Step 3: We consider the new divisor 810 and the new remainder 61, and apply the division lemma to get
810 = 61 x 13 + 17
We consider the new divisor 61 and the new remainder 17,and apply the division lemma to get
61 = 17 x 3 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 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 871 and 30424 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(61,17) = HCF(810,61) = HCF(871,810) = HCF(30424,871) .
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Frequently Asked Questions on HCF of 871, 30424 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, 30424?
Answer: HCF of 871, 30424 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 871, 30424 using Euclid's Algorithm?
Answer: For arbitrary numbers 871, 30424 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.