Highest Common Factor of 926, 83876 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 926, 83876 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 926, 83876 is 2 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 926, 83876 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 926, 83876 is 2.
HCF(926, 83876) = 2
HCF of 926, 83876 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 926, 83876 is 2.
Highest Common Factor of 926,83876 is 2
Step 1: Since 83876 > 926, we apply the division lemma to 83876 and 926, to get
83876 = 926 x 90 + 536
Step 2: Since the reminder 926 ≠ 0, we apply division lemma to 536 and 926, to get
926 = 536 x 1 + 390
Step 3: We consider the new divisor 536 and the new remainder 390, and apply the division lemma to get
536 = 390 x 1 + 146
We consider the new divisor 390 and the new remainder 146,and apply the division lemma to get
390 = 146 x 2 + 98
We consider the new divisor 146 and the new remainder 98,and apply the division lemma to get
146 = 98 x 1 + 48
We consider the new divisor 98 and the new remainder 48,and apply the division lemma to get
98 = 48 x 2 + 2
We consider the new divisor 48 and the new remainder 2,and apply the division lemma to get
48 = 2 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 926 and 83876 is 2
Notice that 2 = HCF(48,2) = HCF(98,48) = HCF(146,98) = HCF(390,146) = HCF(536,390) = HCF(926,536) = HCF(83876,926) .
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Frequently Asked Questions on HCF of 926, 83876 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 926, 83876?
Answer: HCF of 926, 83876 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 926, 83876 using Euclid's Algorithm?
Answer: For arbitrary numbers 926, 83876 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.