Highest Common Factor of 8876, 1786 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 8876, 1786 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8876, 1786 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 8876, 1786 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 8876, 1786 is 2.
HCF(8876, 1786) = 2
HCF of 8876, 1786 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8876, 1786 is 2.
Highest Common Factor of 8876,1786 is 2
Step 1: Since 8876 > 1786, we apply the division lemma to 8876 and 1786, to get
8876 = 1786 x 4 + 1732
Step 2: Since the reminder 1786 ≠ 0, we apply division lemma to 1732 and 1786, to get
1786 = 1732 x 1 + 54
Step 3: We consider the new divisor 1732 and the new remainder 54, and apply the division lemma to get
1732 = 54 x 32 + 4
We consider the new divisor 54 and the new remainder 4,and apply the division lemma to get
54 = 4 x 13 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8876 and 1786 is 2
Notice that 2 = HCF(4,2) = HCF(54,4) = HCF(1732,54) = HCF(1786,1732) = HCF(8876,1786) .
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Frequently Asked Questions on HCF of 8876, 1786 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 8876, 1786?
Answer: HCF of 8876, 1786 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8876, 1786 using Euclid's Algorithm?
Answer: For arbitrary numbers 8876, 1786 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.