Highest Common Factor of 727, 783, 732 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 727, 783, 732 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 727, 783, 732 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 727, 783, 732 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 727, 783, 732 is 1.
HCF(727, 783, 732) = 1
HCF of 727, 783, 732 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 727, 783, 732 is 1.
Highest Common Factor of 727,783,732 is 1
Step 1: Since 783 > 727, we apply the division lemma to 783 and 727, to get
783 = 727 x 1 + 56
Step 2: Since the reminder 727 ≠ 0, we apply division lemma to 56 and 727, to get
727 = 56 x 12 + 55
Step 3: We consider the new divisor 56 and the new remainder 55, and apply the division lemma to get
56 = 55 x 1 + 1
We consider the new divisor 55 and the new remainder 1, and apply the division lemma to get
55 = 1 x 55 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 727 and 783 is 1
Notice that 1 = HCF(55,1) = HCF(56,55) = HCF(727,56) = HCF(783,727) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 732 > 1, we apply the division lemma to 732 and 1, to get
732 = 1 x 732 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 732 is 1
Notice that 1 = HCF(732,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 727, 783, 732 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 727, 783, 732?
Answer: HCF of 727, 783, 732 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 727, 783, 732 using Euclid's Algorithm?
Answer: For arbitrary numbers 727, 783, 732 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.