Highest Common Factor of 257, 11273 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 257, 11273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 257, 11273 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 257, 11273 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 257, 11273 is 1.
HCF(257, 11273) = 1
HCF of 257, 11273 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 257, 11273 is 1.
Highest Common Factor of 257,11273 is 1
Step 1: Since 11273 > 257, we apply the division lemma to 11273 and 257, to get
11273 = 257 x 43 + 222
Step 2: Since the reminder 257 ≠ 0, we apply division lemma to 222 and 257, to get
257 = 222 x 1 + 35
Step 3: We consider the new divisor 222 and the new remainder 35, and apply the division lemma to get
222 = 35 x 6 + 12
We consider the new divisor 35 and the new remainder 12,and apply the division lemma to get
35 = 12 x 2 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 257 and 11273 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(35,12) = HCF(222,35) = HCF(257,222) = HCF(11273,257) .
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Frequently Asked Questions on HCF of 257, 11273 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 257, 11273?
Answer: HCF of 257, 11273 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 257, 11273 using Euclid's Algorithm?
Answer: For arbitrary numbers 257, 11273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.