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 3273, 1775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3273, 1775 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 3273, 1775 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 3273, 1775 is 1.
HCF(3273, 1775) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3273, 1775 is 1.
Step 1: Since 3273 > 1775, we apply the division lemma to 3273 and 1775, to get
3273 = 1775 x 1 + 1498
Step 2: Since the reminder 1775 ≠ 0, we apply division lemma to 1498 and 1775, to get
1775 = 1498 x 1 + 277
Step 3: We consider the new divisor 1498 and the new remainder 277, and apply the division lemma to get
1498 = 277 x 5 + 113
We consider the new divisor 277 and the new remainder 113,and apply the division lemma to get
277 = 113 x 2 + 51
We consider the new divisor 113 and the new remainder 51,and apply the division lemma to get
113 = 51 x 2 + 11
We consider the new divisor 51 and the new remainder 11,and apply the division lemma to get
51 = 11 x 4 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 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 3273 and 1775 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(51,11) = HCF(113,51) = HCF(277,113) = HCF(1498,277) = HCF(1775,1498) = HCF(3273,1775) .
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 3273, 1775?
Answer: HCF of 3273, 1775 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3273, 1775 using Euclid's Algorithm?
Answer: For arbitrary numbers 3273, 1775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.