Highest Common Factor of 4207, 2630 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 4207, 2630 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4207, 2630 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 4207, 2630 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 4207, 2630 is 1.
HCF(4207, 2630) = 1
HCF of 4207, 2630 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4207, 2630 is 1.
Highest Common Factor of 4207,2630 is 1
Step 1: Since 4207 > 2630, we apply the division lemma to 4207 and 2630, to get
4207 = 2630 x 1 + 1577
Step 2: Since the reminder 2630 ≠ 0, we apply division lemma to 1577 and 2630, to get
2630 = 1577 x 1 + 1053
Step 3: We consider the new divisor 1577 and the new remainder 1053, and apply the division lemma to get
1577 = 1053 x 1 + 524
We consider the new divisor 1053 and the new remainder 524,and apply the division lemma to get
1053 = 524 x 2 + 5
We consider the new divisor 524 and the new remainder 5,and apply the division lemma to get
524 = 5 x 104 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4207 and 2630 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(524,5) = HCF(1053,524) = HCF(1577,1053) = HCF(2630,1577) = HCF(4207,2630) .
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Frequently Asked Questions on HCF of 4207, 2630 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 4207, 2630?
Answer: HCF of 4207, 2630 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4207, 2630 using Euclid's Algorithm?
Answer: For arbitrary numbers 4207, 2630 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.