Highest Common Factor of 1070, 6989 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 1070, 6989 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1070, 6989 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 1070, 6989 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 1070, 6989 is 1.
HCF(1070, 6989) = 1
HCF of 1070, 6989 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1070, 6989 is 1.
Highest Common Factor of 1070,6989 is 1
Step 1: Since 6989 > 1070, we apply the division lemma to 6989 and 1070, to get
6989 = 1070 x 6 + 569
Step 2: Since the reminder 1070 ≠ 0, we apply division lemma to 569 and 1070, to get
1070 = 569 x 1 + 501
Step 3: We consider the new divisor 569 and the new remainder 501, and apply the division lemma to get
569 = 501 x 1 + 68
We consider the new divisor 501 and the new remainder 68,and apply the division lemma to get
501 = 68 x 7 + 25
We consider the new divisor 68 and the new remainder 25,and apply the division lemma to get
68 = 25 x 2 + 18
We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get
25 = 18 x 1 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 1070 and 6989 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(68,25) = HCF(501,68) = HCF(569,501) = HCF(1070,569) = HCF(6989,1070) .
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Frequently Asked Questions on HCF of 1070, 6989 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 1070, 6989?
Answer: HCF of 1070, 6989 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1070, 6989 using Euclid's Algorithm?
Answer: For arbitrary numbers 1070, 6989 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.