Highest Common Factor of 8876, 9430 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, 9430 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8876, 9430 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, 9430 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, 9430 is 2.
HCF(8876, 9430) = 2
HCF of 8876, 9430 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, 9430 is 2.
Highest Common Factor of 8876,9430 is 2
Step 1: Since 9430 > 8876, we apply the division lemma to 9430 and 8876, to get
9430 = 8876 x 1 + 554
Step 2: Since the reminder 8876 ≠ 0, we apply division lemma to 554 and 8876, to get
8876 = 554 x 16 + 12
Step 3: We consider the new divisor 554 and the new remainder 12, and apply the division lemma to get
554 = 12 x 46 + 2
We consider the new divisor 12 and the new remainder 2, and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8876 and 9430 is 2
Notice that 2 = HCF(12,2) = HCF(554,12) = HCF(8876,554) = HCF(9430,8876) .
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Frequently Asked Questions on HCF of 8876, 9430 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, 9430?
Answer: HCF of 8876, 9430 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8876, 9430 using Euclid's Algorithm?
Answer: For arbitrary numbers 8876, 9430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.