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 360, 810, 739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 360, 810, 739 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 360, 810, 739 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 360, 810, 739 is 1.
HCF(360, 810, 739) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 360, 810, 739 is 1.
Step 1: Since 810 > 360, we apply the division lemma to 810 and 360, to get
810 = 360 x 2 + 90
Step 2: Since the reminder 360 ≠ 0, we apply division lemma to 90 and 360, to get
360 = 90 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 90, the HCF of 360 and 810 is 90
Notice that 90 = HCF(360,90) = HCF(810,360) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 739 > 90, we apply the division lemma to 739 and 90, to get
739 = 90 x 8 + 19
Step 2: Since the reminder 90 ≠ 0, we apply division lemma to 19 and 90, to get
90 = 19 x 4 + 14
Step 3: We consider the new divisor 19 and the new remainder 14, and apply the division lemma to get
19 = 14 x 1 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 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 90 and 739 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(90,19) = HCF(739,90) .
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 360, 810, 739?
Answer: HCF of 360, 810, 739 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 360, 810, 739 using Euclid's Algorithm?
Answer: For arbitrary numbers 360, 810, 739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.