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 8398, 8974 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8398, 8974 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 8398, 8974 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 8398, 8974 is 2.
HCF(8398, 8974) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8398, 8974 is 2.
Step 1: Since 8974 > 8398, we apply the division lemma to 8974 and 8398, to get
8974 = 8398 x 1 + 576
Step 2: Since the reminder 8398 ≠ 0, we apply division lemma to 576 and 8398, to get
8398 = 576 x 14 + 334
Step 3: We consider the new divisor 576 and the new remainder 334, and apply the division lemma to get
576 = 334 x 1 + 242
We consider the new divisor 334 and the new remainder 242,and apply the division lemma to get
334 = 242 x 1 + 92
We consider the new divisor 242 and the new remainder 92,and apply the division lemma to get
242 = 92 x 2 + 58
We consider the new divisor 92 and the new remainder 58,and apply the division lemma to get
92 = 58 x 1 + 34
We consider the new divisor 58 and the new remainder 34,and apply the division lemma to get
58 = 34 x 1 + 24
We consider the new divisor 34 and the new remainder 24,and apply the division lemma to get
34 = 24 x 1 + 10
We consider the new divisor 24 and the new remainder 10,and apply the division lemma to get
24 = 10 x 2 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 8398 and 8974 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(24,10) = HCF(34,24) = HCF(58,34) = HCF(92,58) = HCF(242,92) = HCF(334,242) = HCF(576,334) = HCF(8398,576) = HCF(8974,8398) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 8398, 8974?
Answer: HCF of 8398, 8974 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8398, 8974 using Euclid's Algorithm?
Answer: For arbitrary numbers 8398, 8974 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.