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 3275, 1356 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3275, 1356 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 3275, 1356 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 3275, 1356 is 1.
HCF(3275, 1356) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3275, 1356 is 1.
Step 1: Since 3275 > 1356, we apply the division lemma to 3275 and 1356, to get
3275 = 1356 x 2 + 563
Step 2: Since the reminder 1356 ≠ 0, we apply division lemma to 563 and 1356, to get
1356 = 563 x 2 + 230
Step 3: We consider the new divisor 563 and the new remainder 230, and apply the division lemma to get
563 = 230 x 2 + 103
We consider the new divisor 230 and the new remainder 103,and apply the division lemma to get
230 = 103 x 2 + 24
We consider the new divisor 103 and the new remainder 24,and apply the division lemma to get
103 = 24 x 4 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 3275 and 1356 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(103,24) = HCF(230,103) = HCF(563,230) = HCF(1356,563) = HCF(3275,1356) .
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 3275, 1356?
Answer: HCF of 3275, 1356 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3275, 1356 using Euclid's Algorithm?
Answer: For arbitrary numbers 3275, 1356 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.