Highest Common Factor of 417, 772, 743, 932 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 417, 772, 743, 932 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 417, 772, 743, 932 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 417, 772, 743, 932 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 417, 772, 743, 932 is 1.
HCF(417, 772, 743, 932) = 1
HCF of 417, 772, 743, 932 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 417, 772, 743, 932 is 1.
Highest Common Factor of 417,772,743,932 is 1
Step 1: Since 772 > 417, we apply the division lemma to 772 and 417, to get
772 = 417 x 1 + 355
Step 2: Since the reminder 417 ≠ 0, we apply division lemma to 355 and 417, to get
417 = 355 x 1 + 62
Step 3: We consider the new divisor 355 and the new remainder 62, and apply the division lemma to get
355 = 62 x 5 + 45
We consider the new divisor 62 and the new remainder 45,and apply the division lemma to get
62 = 45 x 1 + 17
We consider the new divisor 45 and the new remainder 17,and apply the division lemma to get
45 = 17 x 2 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 417 and 772 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(45,17) = HCF(62,45) = HCF(355,62) = HCF(417,355) = HCF(772,417) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 743 > 1, we apply the division lemma to 743 and 1, to get
743 = 1 x 743 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 743 is 1
Notice that 1 = HCF(743,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 932 > 1, we apply the division lemma to 932 and 1, to get
932 = 1 x 932 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 932 is 1
Notice that 1 = HCF(932,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 417, 772, 743, 932 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 417, 772, 743, 932?
Answer: HCF of 417, 772, 743, 932 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 417, 772, 743, 932 using Euclid's Algorithm?
Answer: For arbitrary numbers 417, 772, 743, 932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.