Highest Common Factor of 9256, 4985 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 9256, 4985 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9256, 4985 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 9256, 4985 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 9256, 4985 is 1.
HCF(9256, 4985) = 1
HCF of 9256, 4985 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9256, 4985 is 1.
Highest Common Factor of 9256,4985 is 1
Step 1: Since 9256 > 4985, we apply the division lemma to 9256 and 4985, to get
9256 = 4985 x 1 + 4271
Step 2: Since the reminder 4985 ≠ 0, we apply division lemma to 4271 and 4985, to get
4985 = 4271 x 1 + 714
Step 3: We consider the new divisor 4271 and the new remainder 714, and apply the division lemma to get
4271 = 714 x 5 + 701
We consider the new divisor 714 and the new remainder 701,and apply the division lemma to get
714 = 701 x 1 + 13
We consider the new divisor 701 and the new remainder 13,and apply the division lemma to get
701 = 13 x 53 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9256 and 4985 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(701,13) = HCF(714,701) = HCF(4271,714) = HCF(4985,4271) = HCF(9256,4985) .
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Frequently Asked Questions on HCF of 9256, 4985 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 9256, 4985?
Answer: HCF of 9256, 4985 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9256, 4985 using Euclid's Algorithm?
Answer: For arbitrary numbers 9256, 4985 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
