Highest Common Factor of 8430, 9934 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 8430, 9934 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8430, 9934 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 8430, 9934 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 8430, 9934 is 2.
HCF(8430, 9934) = 2
HCF of 8430, 9934 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8430, 9934 is 2.
Highest Common Factor of 8430,9934 is 2
Step 1: Since 9934 > 8430, we apply the division lemma to 9934 and 8430, to get
9934 = 8430 x 1 + 1504
Step 2: Since the reminder 8430 ≠ 0, we apply division lemma to 1504 and 8430, to get
8430 = 1504 x 5 + 910
Step 3: We consider the new divisor 1504 and the new remainder 910, and apply the division lemma to get
1504 = 910 x 1 + 594
We consider the new divisor 910 and the new remainder 594,and apply the division lemma to get
910 = 594 x 1 + 316
We consider the new divisor 594 and the new remainder 316,and apply the division lemma to get
594 = 316 x 1 + 278
We consider the new divisor 316 and the new remainder 278,and apply the division lemma to get
316 = 278 x 1 + 38
We consider the new divisor 278 and the new remainder 38,and apply the division lemma to get
278 = 38 x 7 + 12
We consider the new divisor 38 and the new remainder 12,and apply the division lemma to get
38 = 12 x 3 + 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 8430 and 9934 is 2
Notice that 2 = HCF(12,2) = HCF(38,12) = HCF(278,38) = HCF(316,278) = HCF(594,316) = HCF(910,594) = HCF(1504,910) = HCF(8430,1504) = HCF(9934,8430) .
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Frequently Asked Questions on HCF of 8430, 9934 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 8430, 9934?
Answer: HCF of 8430, 9934 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8430, 9934 using Euclid's Algorithm?
Answer: For arbitrary numbers 8430, 9934 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
