Highest Common Factor of 2320, 1267 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 2320, 1267 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2320, 1267 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 2320, 1267 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 2320, 1267 is 1.
HCF(2320, 1267) = 1
HCF of 2320, 1267 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2320, 1267 is 1.
Highest Common Factor of 2320,1267 is 1
Step 1: Since 2320 > 1267, we apply the division lemma to 2320 and 1267, to get
2320 = 1267 x 1 + 1053
Step 2: Since the reminder 1267 ≠ 0, we apply division lemma to 1053 and 1267, to get
1267 = 1053 x 1 + 214
Step 3: We consider the new divisor 1053 and the new remainder 214, and apply the division lemma to get
1053 = 214 x 4 + 197
We consider the new divisor 214 and the new remainder 197,and apply the division lemma to get
214 = 197 x 1 + 17
We consider the new divisor 197 and the new remainder 17,and apply the division lemma to get
197 = 17 x 11 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2320 and 1267 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(197,17) = HCF(214,197) = HCF(1053,214) = HCF(1267,1053) = HCF(2320,1267) .
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Frequently Asked Questions on HCF of 2320, 1267 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 2320, 1267?
Answer: HCF of 2320, 1267 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2320, 1267 using Euclid's Algorithm?
Answer: For arbitrary numbers 2320, 1267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.