Highest Common Factor of 7567, 7010 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 7567, 7010 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7567, 7010 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 7567, 7010 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 7567, 7010 is 1.
HCF(7567, 7010) = 1
HCF of 7567, 7010 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7567, 7010 is 1.
Highest Common Factor of 7567,7010 is 1
Step 1: Since 7567 > 7010, we apply the division lemma to 7567 and 7010, to get
7567 = 7010 x 1 + 557
Step 2: Since the reminder 7010 ≠ 0, we apply division lemma to 557 and 7010, to get
7010 = 557 x 12 + 326
Step 3: We consider the new divisor 557 and the new remainder 326, and apply the division lemma to get
557 = 326 x 1 + 231
We consider the new divisor 326 and the new remainder 231,and apply the division lemma to get
326 = 231 x 1 + 95
We consider the new divisor 231 and the new remainder 95,and apply the division lemma to get
231 = 95 x 2 + 41
We consider the new divisor 95 and the new remainder 41,and apply the division lemma to get
95 = 41 x 2 + 13
We consider the new divisor 41 and the new remainder 13,and apply the division lemma to get
41 = 13 x 3 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7567 and 7010 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(41,13) = HCF(95,41) = HCF(231,95) = HCF(326,231) = HCF(557,326) = HCF(7010,557) = HCF(7567,7010) .
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Frequently Asked Questions on HCF of 7567, 7010 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 7567, 7010?
Answer: HCF of 7567, 7010 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7567, 7010 using Euclid's Algorithm?
Answer: For arbitrary numbers 7567, 7010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.