Highest Common Factor of 1614, 8876 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 1614, 8876 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1614, 8876 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 1614, 8876 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 1614, 8876 is 2.
HCF(1614, 8876) = 2
HCF of 1614, 8876 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1614, 8876 is 2.
Highest Common Factor of 1614,8876 is 2
Step 1: Since 8876 > 1614, we apply the division lemma to 8876 and 1614, to get
8876 = 1614 x 5 + 806
Step 2: Since the reminder 1614 ≠ 0, we apply division lemma to 806 and 1614, to get
1614 = 806 x 2 + 2
Step 3: We consider the new divisor 806 and the new remainder 2, and apply the division lemma to get
806 = 2 x 403 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1614 and 8876 is 2
Notice that 2 = HCF(806,2) = HCF(1614,806) = HCF(8876,1614) .
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Frequently Asked Questions on HCF of 1614, 8876 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 1614, 8876?
Answer: HCF of 1614, 8876 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1614, 8876 using Euclid's Algorithm?
Answer: For arbitrary numbers 1614, 8876 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.