Highest Common Factor of 8830, 9148 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 8830, 9148 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8830, 9148 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 8830, 9148 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 8830, 9148 is 2.
HCF(8830, 9148) = 2
HCF of 8830, 9148 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8830, 9148 is 2.
Highest Common Factor of 8830,9148 is 2
Step 1: Since 9148 > 8830, we apply the division lemma to 9148 and 8830, to get
9148 = 8830 x 1 + 318
Step 2: Since the reminder 8830 ≠ 0, we apply division lemma to 318 and 8830, to get
8830 = 318 x 27 + 244
Step 3: We consider the new divisor 318 and the new remainder 244, and apply the division lemma to get
318 = 244 x 1 + 74
We consider the new divisor 244 and the new remainder 74,and apply the division lemma to get
244 = 74 x 3 + 22
We consider the new divisor 74 and the new remainder 22,and apply the division lemma to get
74 = 22 x 3 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8830 and 9148 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(74,22) = HCF(244,74) = HCF(318,244) = HCF(8830,318) = HCF(9148,8830) .
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Frequently Asked Questions on HCF of 8830, 9148 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 8830, 9148?
Answer: HCF of 8830, 9148 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8830, 9148 using Euclid's Algorithm?
Answer: For arbitrary numbers 8830, 9148 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.