Highest Common Factor of 3880, 1366 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 3880, 1366 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3880, 1366 is 2 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 3880, 1366 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 3880, 1366 is 2.
HCF(3880, 1366) = 2
HCF of 3880, 1366 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3880, 1366 is 2.
Highest Common Factor of 3880,1366 is 2
Step 1: Since 3880 > 1366, we apply the division lemma to 3880 and 1366, to get
3880 = 1366 x 2 + 1148
Step 2: Since the reminder 1366 ≠ 0, we apply division lemma to 1148 and 1366, to get
1366 = 1148 x 1 + 218
Step 3: We consider the new divisor 1148 and the new remainder 218, and apply the division lemma to get
1148 = 218 x 5 + 58
We consider the new divisor 218 and the new remainder 58,and apply the division lemma to get
218 = 58 x 3 + 44
We consider the new divisor 58 and the new remainder 44,and apply the division lemma to get
58 = 44 x 1 + 14
We consider the new divisor 44 and the new remainder 14,and apply the division lemma to get
44 = 14 x 3 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3880 and 1366 is 2
Notice that 2 = HCF(14,2) = HCF(44,14) = HCF(58,44) = HCF(218,58) = HCF(1148,218) = HCF(1366,1148) = HCF(3880,1366) .
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Frequently Asked Questions on HCF of 3880, 1366 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 3880, 1366?
Answer: HCF of 3880, 1366 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3880, 1366 using Euclid's Algorithm?
Answer: For arbitrary numbers 3880, 1366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.