Highest Common Factor of 9649, 9154 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 9649, 9154 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9649, 9154 is 1 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 9649, 9154 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 9649, 9154 is 1.
HCF(9649, 9154) = 1
HCF of 9649, 9154 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9649, 9154 is 1.
Highest Common Factor of 9649,9154 is 1
Step 1: Since 9649 > 9154, we apply the division lemma to 9649 and 9154, to get
9649 = 9154 x 1 + 495
Step 2: Since the reminder 9154 ≠ 0, we apply division lemma to 495 and 9154, to get
9154 = 495 x 18 + 244
Step 3: We consider the new divisor 495 and the new remainder 244, and apply the division lemma to get
495 = 244 x 2 + 7
We consider the new divisor 244 and the new remainder 7,and apply the division lemma to get
244 = 7 x 34 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9649 and 9154 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(244,7) = HCF(495,244) = HCF(9154,495) = HCF(9649,9154) .
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Frequently Asked Questions on HCF of 9649, 9154 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 9649, 9154?
Answer: HCF of 9649, 9154 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9649, 9154 using Euclid's Algorithm?
Answer: For arbitrary numbers 9649, 9154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.