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 6535, 1483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6535, 1483 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 6535, 1483 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 6535, 1483 is 1.
HCF(6535, 1483) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6535, 1483 is 1.
Step 1: Since 6535 > 1483, we apply the division lemma to 6535 and 1483, to get
6535 = 1483 x 4 + 603
Step 2: Since the reminder 1483 ≠ 0, we apply division lemma to 603 and 1483, to get
1483 = 603 x 2 + 277
Step 3: We consider the new divisor 603 and the new remainder 277, and apply the division lemma to get
603 = 277 x 2 + 49
We consider the new divisor 277 and the new remainder 49,and apply the division lemma to get
277 = 49 x 5 + 32
We consider the new divisor 49 and the new remainder 32,and apply the division lemma to get
49 = 32 x 1 + 17
We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get
32 = 17 x 1 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6535 and 1483 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(49,32) = HCF(277,49) = HCF(603,277) = HCF(1483,603) = HCF(6535,1483) .
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 6535, 1483?
Answer: HCF of 6535, 1483 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6535, 1483 using Euclid's Algorithm?
Answer: For arbitrary numbers 6535, 1483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.