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 3259, 1227 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3259, 1227 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 3259, 1227 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 3259, 1227 is 1.
HCF(3259, 1227) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3259, 1227 is 1.
Step 1: Since 3259 > 1227, we apply the division lemma to 3259 and 1227, to get
3259 = 1227 x 2 + 805
Step 2: Since the reminder 1227 ≠ 0, we apply division lemma to 805 and 1227, to get
1227 = 805 x 1 + 422
Step 3: We consider the new divisor 805 and the new remainder 422, and apply the division lemma to get
805 = 422 x 1 + 383
We consider the new divisor 422 and the new remainder 383,and apply the division lemma to get
422 = 383 x 1 + 39
We consider the new divisor 383 and the new remainder 39,and apply the division lemma to get
383 = 39 x 9 + 32
We consider the new divisor 39 and the new remainder 32,and apply the division lemma to get
39 = 32 x 1 + 7
We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get
32 = 7 x 4 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 3259 and 1227 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(39,32) = HCF(383,39) = HCF(422,383) = HCF(805,422) = HCF(1227,805) = HCF(3259,1227) .
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 3259, 1227?
Answer: HCF of 3259, 1227 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3259, 1227 using Euclid's Algorithm?
Answer: For arbitrary numbers 3259, 1227 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.