Highest Common Factor of 7169, 2126 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 7169, 2126 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7169, 2126 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 7169, 2126 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 7169, 2126 is 1.
HCF(7169, 2126) = 1
HCF of 7169, 2126 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7169, 2126 is 1.
Highest Common Factor of 7169,2126 is 1
Step 1: Since 7169 > 2126, we apply the division lemma to 7169 and 2126, to get
7169 = 2126 x 3 + 791
Step 2: Since the reminder 2126 ≠ 0, we apply division lemma to 791 and 2126, to get
2126 = 791 x 2 + 544
Step 3: We consider the new divisor 791 and the new remainder 544, and apply the division lemma to get
791 = 544 x 1 + 247
We consider the new divisor 544 and the new remainder 247,and apply the division lemma to get
544 = 247 x 2 + 50
We consider the new divisor 247 and the new remainder 50,and apply the division lemma to get
247 = 50 x 4 + 47
We consider the new divisor 50 and the new remainder 47,and apply the division lemma to get
50 = 47 x 1 + 3
We consider the new divisor 47 and the new remainder 3,and apply the division lemma to get
47 = 3 x 15 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 7169 and 2126 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(47,3) = HCF(50,47) = HCF(247,50) = HCF(544,247) = HCF(791,544) = HCF(2126,791) = HCF(7169,2126) .
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Frequently Asked Questions on HCF of 7169, 2126 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 7169, 2126?
Answer: HCF of 7169, 2126 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7169, 2126 using Euclid's Algorithm?
Answer: For arbitrary numbers 7169, 2126 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.