Highest Common Factor of 9152, 8734 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 9152, 8734 i.e. 22 the largest integer that leaves a remainder zero for all numbers.
HCF of 9152, 8734 is 22 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 9152, 8734 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 9152, 8734 is 22.
HCF(9152, 8734) = 22
HCF of 9152, 8734 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9152, 8734 is 22.
Highest Common Factor of 9152,8734 is 22
Step 1: Since 9152 > 8734, we apply the division lemma to 9152 and 8734, to get
9152 = 8734 x 1 + 418
Step 2: Since the reminder 8734 ≠ 0, we apply division lemma to 418 and 8734, to get
8734 = 418 x 20 + 374
Step 3: We consider the new divisor 418 and the new remainder 374, and apply the division lemma to get
418 = 374 x 1 + 44
We consider the new divisor 374 and the new remainder 44,and apply the division lemma to get
374 = 44 x 8 + 22
We consider the new divisor 44 and the new remainder 22,and apply the division lemma to get
44 = 22 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 9152 and 8734 is 22
Notice that 22 = HCF(44,22) = HCF(374,44) = HCF(418,374) = HCF(8734,418) = HCF(9152,8734) .
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Frequently Asked Questions on HCF of 9152, 8734 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 9152, 8734?
Answer: HCF of 9152, 8734 is 22 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9152, 8734 using Euclid's Algorithm?
Answer: For arbitrary numbers 9152, 8734 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.