Highest Common Factor of 7030, 8651 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 7030, 8651 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7030, 8651 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 7030, 8651 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 7030, 8651 is 1.
HCF(7030, 8651) = 1
HCF of 7030, 8651 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7030, 8651 is 1.
Highest Common Factor of 7030,8651 is 1
Step 1: Since 8651 > 7030, we apply the division lemma to 8651 and 7030, to get
8651 = 7030 x 1 + 1621
Step 2: Since the reminder 7030 ≠ 0, we apply division lemma to 1621 and 7030, to get
7030 = 1621 x 4 + 546
Step 3: We consider the new divisor 1621 and the new remainder 546, and apply the division lemma to get
1621 = 546 x 2 + 529
We consider the new divisor 546 and the new remainder 529,and apply the division lemma to get
546 = 529 x 1 + 17
We consider the new divisor 529 and the new remainder 17,and apply the division lemma to get
529 = 17 x 31 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 7030 and 8651 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(529,17) = HCF(546,529) = HCF(1621,546) = HCF(7030,1621) = HCF(8651,7030) .
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Frequently Asked Questions on HCF of 7030, 8651 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 7030, 8651?
Answer: HCF of 7030, 8651 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7030, 8651 using Euclid's Algorithm?
Answer: For arbitrary numbers 7030, 8651 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.