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 2366, 1339 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 2366, 1339 is 13 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 2366, 1339 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 2366, 1339 is 13.
HCF(2366, 1339) = 13
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2366, 1339 is 13.
Step 1: Since 2366 > 1339, we apply the division lemma to 2366 and 1339, to get
2366 = 1339 x 1 + 1027
Step 2: Since the reminder 1339 ≠ 0, we apply division lemma to 1027 and 1339, to get
1339 = 1027 x 1 + 312
Step 3: We consider the new divisor 1027 and the new remainder 312, and apply the division lemma to get
1027 = 312 x 3 + 91
We consider the new divisor 312 and the new remainder 91,and apply the division lemma to get
312 = 91 x 3 + 39
We consider the new divisor 91 and the new remainder 39,and apply the division lemma to get
91 = 39 x 2 + 13
We consider the new divisor 39 and the new remainder 13,and apply the division lemma to get
39 = 13 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 2366 and 1339 is 13
Notice that 13 = HCF(39,13) = HCF(91,39) = HCF(312,91) = HCF(1027,312) = HCF(1339,1027) = HCF(2366,1339) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 2366, 1339?
Answer: HCF of 2366, 1339 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2366, 1339 using Euclid's Algorithm?
Answer: For arbitrary numbers 2366, 1339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.