Highest Common Factor of 9684, 7154 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 9684, 7154 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9684, 7154 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 9684, 7154 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 9684, 7154 is 2.
HCF(9684, 7154) = 2
HCF of 9684, 7154 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9684, 7154 is 2.
Highest Common Factor of 9684,7154 is 2
Step 1: Since 9684 > 7154, we apply the division lemma to 9684 and 7154, to get
9684 = 7154 x 1 + 2530
Step 2: Since the reminder 7154 ≠ 0, we apply division lemma to 2530 and 7154, to get
7154 = 2530 x 2 + 2094
Step 3: We consider the new divisor 2530 and the new remainder 2094, and apply the division lemma to get
2530 = 2094 x 1 + 436
We consider the new divisor 2094 and the new remainder 436,and apply the division lemma to get
2094 = 436 x 4 + 350
We consider the new divisor 436 and the new remainder 350,and apply the division lemma to get
436 = 350 x 1 + 86
We consider the new divisor 350 and the new remainder 86,and apply the division lemma to get
350 = 86 x 4 + 6
We consider the new divisor 86 and the new remainder 6,and apply the division lemma to get
86 = 6 x 14 + 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 9684 and 7154 is 2
Notice that 2 = HCF(6,2) = HCF(86,6) = HCF(350,86) = HCF(436,350) = HCF(2094,436) = HCF(2530,2094) = HCF(7154,2530) = HCF(9684,7154) .
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Frequently Asked Questions on HCF of 9684, 7154 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 9684, 7154?
Answer: HCF of 9684, 7154 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9684, 7154 using Euclid's Algorithm?
Answer: For arbitrary numbers 9684, 7154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.