Highest Common Factor of 7231, 2850 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 7231, 2850 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7231, 2850 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 7231, 2850 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 7231, 2850 is 1.
HCF(7231, 2850) = 1
HCF of 7231, 2850 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7231, 2850 is 1.
Highest Common Factor of 7231,2850 is 1
Step 1: Since 7231 > 2850, we apply the division lemma to 7231 and 2850, to get
7231 = 2850 x 2 + 1531
Step 2: Since the reminder 2850 ≠ 0, we apply division lemma to 1531 and 2850, to get
2850 = 1531 x 1 + 1319
Step 3: We consider the new divisor 1531 and the new remainder 1319, and apply the division lemma to get
1531 = 1319 x 1 + 212
We consider the new divisor 1319 and the new remainder 212,and apply the division lemma to get
1319 = 212 x 6 + 47
We consider the new divisor 212 and the new remainder 47,and apply the division lemma to get
212 = 47 x 4 + 24
We consider the new divisor 47 and the new remainder 24,and apply the division lemma to get
47 = 24 x 1 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7231 and 2850 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(47,24) = HCF(212,47) = HCF(1319,212) = HCF(1531,1319) = HCF(2850,1531) = HCF(7231,2850) .
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Frequently Asked Questions on HCF of 7231, 2850 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 7231, 2850?
Answer: HCF of 7231, 2850 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7231, 2850 using Euclid's Algorithm?
Answer: For arbitrary numbers 7231, 2850 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.