Highest Common Factor of 8674, 9958 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 8674, 9958 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8674, 9958 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 8674, 9958 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 8674, 9958 is 2.
HCF(8674, 9958) = 2
HCF of 8674, 9958 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8674, 9958 is 2.
Highest Common Factor of 8674,9958 is 2
Step 1: Since 9958 > 8674, we apply the division lemma to 9958 and 8674, to get
9958 = 8674 x 1 + 1284
Step 2: Since the reminder 8674 ≠ 0, we apply division lemma to 1284 and 8674, to get
8674 = 1284 x 6 + 970
Step 3: We consider the new divisor 1284 and the new remainder 970, and apply the division lemma to get
1284 = 970 x 1 + 314
We consider the new divisor 970 and the new remainder 314,and apply the division lemma to get
970 = 314 x 3 + 28
We consider the new divisor 314 and the new remainder 28,and apply the division lemma to get
314 = 28 x 11 + 6
We consider the new divisor 28 and the new remainder 6,and apply the division lemma to get
28 = 6 x 4 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 8674 and 9958 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(28,6) = HCF(314,28) = HCF(970,314) = HCF(1284,970) = HCF(8674,1284) = HCF(9958,8674) .
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Frequently Asked Questions on HCF of 8674, 9958 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 8674, 9958?
Answer: HCF of 8674, 9958 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8674, 9958 using Euclid's Algorithm?
Answer: For arbitrary numbers 8674, 9958 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.