Highest Common Factor of 7876, 1689 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 7876, 1689 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7876, 1689 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 7876, 1689 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 7876, 1689 is 1.
HCF(7876, 1689) = 1
HCF of 7876, 1689 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7876, 1689 is 1.
Highest Common Factor of 7876,1689 is 1
Step 1: Since 7876 > 1689, we apply the division lemma to 7876 and 1689, to get
7876 = 1689 x 4 + 1120
Step 2: Since the reminder 1689 ≠ 0, we apply division lemma to 1120 and 1689, to get
1689 = 1120 x 1 + 569
Step 3: We consider the new divisor 1120 and the new remainder 569, and apply the division lemma to get
1120 = 569 x 1 + 551
We consider the new divisor 569 and the new remainder 551,and apply the division lemma to get
569 = 551 x 1 + 18
We consider the new divisor 551 and the new remainder 18,and apply the division lemma to get
551 = 18 x 30 + 11
We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get
18 = 11 x 1 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 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 7876 and 1689 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(551,18) = HCF(569,551) = HCF(1120,569) = HCF(1689,1120) = HCF(7876,1689) .
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Frequently Asked Questions on HCF of 7876, 1689 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 7876, 1689?
Answer: HCF of 7876, 1689 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7876, 1689 using Euclid's Algorithm?
Answer: For arbitrary numbers 7876, 1689 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.