Highest Common Factor of 288, 737, 736 using Euclid's algorithm
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 288, 737, 736 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 288, 737, 736 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 288, 737, 736 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 288, 737, 736 is 1.
HCF(288, 737, 736) = 1
HCF of 288, 737, 736 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 288, 737, 736 is 1.
Highest Common Factor of 288,737,736 is 1
Step 1: Since 737 > 288, we apply the division lemma to 737 and 288, to get
737 = 288 x 2 + 161
Step 2: Since the reminder 288 ≠ 0, we apply division lemma to 161 and 288, to get
288 = 161 x 1 + 127
Step 3: We consider the new divisor 161 and the new remainder 127, and apply the division lemma to get
161 = 127 x 1 + 34
We consider the new divisor 127 and the new remainder 34,and apply the division lemma to get
127 = 34 x 3 + 25
We consider the new divisor 34 and the new remainder 25,and apply the division lemma to get
34 = 25 x 1 + 9
We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get
25 = 9 x 2 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 288 and 737 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(34,25) = HCF(127,34) = HCF(161,127) = HCF(288,161) = HCF(737,288) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 736 > 1, we apply the division lemma to 736 and 1, to get
736 = 1 x 736 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 736 is 1
Notice that 1 = HCF(736,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 288, 737, 736 using Euclid's Algorithm
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 288, 737, 736?
Answer: HCF of 288, 737, 736 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 288, 737, 736 using Euclid's Algorithm?
Answer: For arbitrary numbers 288, 737, 736 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.