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 2737, 1609 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2737, 1609 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 2737, 1609 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 2737, 1609 is 1.
HCF(2737, 1609) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2737, 1609 is 1.
Step 1: Since 2737 > 1609, we apply the division lemma to 2737 and 1609, to get
2737 = 1609 x 1 + 1128
Step 2: Since the reminder 1609 ≠ 0, we apply division lemma to 1128 and 1609, to get
1609 = 1128 x 1 + 481
Step 3: We consider the new divisor 1128 and the new remainder 481, and apply the division lemma to get
1128 = 481 x 2 + 166
We consider the new divisor 481 and the new remainder 166,and apply the division lemma to get
481 = 166 x 2 + 149
We consider the new divisor 166 and the new remainder 149,and apply the division lemma to get
166 = 149 x 1 + 17
We consider the new divisor 149 and the new remainder 17,and apply the division lemma to get
149 = 17 x 8 + 13
We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get
17 = 13 x 1 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2737 and 1609 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(149,17) = HCF(166,149) = HCF(481,166) = HCF(1128,481) = HCF(1609,1128) = HCF(2737,1609) .
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 2737, 1609?
Answer: HCF of 2737, 1609 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2737, 1609 using Euclid's Algorithm?
Answer: For arbitrary numbers 2737, 1609 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.