Highest Common Factor of 1965, 3440 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 1965, 3440 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 1965, 3440 is 5 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 1965, 3440 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 1965, 3440 is 5.
HCF(1965, 3440) = 5
HCF of 1965, 3440 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1965, 3440 is 5.
Highest Common Factor of 1965,3440 is 5
Step 1: Since 3440 > 1965, we apply the division lemma to 3440 and 1965, to get
3440 = 1965 x 1 + 1475
Step 2: Since the reminder 1965 ≠ 0, we apply division lemma to 1475 and 1965, to get
1965 = 1475 x 1 + 490
Step 3: We consider the new divisor 1475 and the new remainder 490, and apply the division lemma to get
1475 = 490 x 3 + 5
We consider the new divisor 490 and the new remainder 5, and apply the division lemma to get
490 = 5 x 98 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 1965 and 3440 is 5
Notice that 5 = HCF(490,5) = HCF(1475,490) = HCF(1965,1475) = HCF(3440,1965) .
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Frequently Asked Questions on HCF of 1965, 3440 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 1965, 3440?
Answer: HCF of 1965, 3440 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1965, 3440 using Euclid's Algorithm?
Answer: For arbitrary numbers 1965, 3440 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
