Highest Common Factor of 8926, 1851 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 8926, 1851 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8926, 1851 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 8926, 1851 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 8926, 1851 is 1.
HCF(8926, 1851) = 1
HCF of 8926, 1851 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8926, 1851 is 1.
Highest Common Factor of 8926,1851 is 1
Step 1: Since 8926 > 1851, we apply the division lemma to 8926 and 1851, to get
8926 = 1851 x 4 + 1522
Step 2: Since the reminder 1851 ≠ 0, we apply division lemma to 1522 and 1851, to get
1851 = 1522 x 1 + 329
Step 3: We consider the new divisor 1522 and the new remainder 329, and apply the division lemma to get
1522 = 329 x 4 + 206
We consider the new divisor 329 and the new remainder 206,and apply the division lemma to get
329 = 206 x 1 + 123
We consider the new divisor 206 and the new remainder 123,and apply the division lemma to get
206 = 123 x 1 + 83
We consider the new divisor 123 and the new remainder 83,and apply the division lemma to get
123 = 83 x 1 + 40
We consider the new divisor 83 and the new remainder 40,and apply the division lemma to get
83 = 40 x 2 + 3
We consider the new divisor 40 and the new remainder 3,and apply the division lemma to get
40 = 3 x 13 + 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 8926 and 1851 is 1
Notice that 1 = HCF(3,1) = HCF(40,3) = HCF(83,40) = HCF(123,83) = HCF(206,123) = HCF(329,206) = HCF(1522,329) = HCF(1851,1522) = HCF(8926,1851) .
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Frequently Asked Questions on HCF of 8926, 1851 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 8926, 1851?
Answer: HCF of 8926, 1851 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8926, 1851 using Euclid's Algorithm?
Answer: For arbitrary numbers 8926, 1851 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.