Highest Common Factor of 932, 1756, 2588 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 932, 1756, 2588 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 932, 1756, 2588 is 4 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 932, 1756, 2588 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 932, 1756, 2588 is 4.
HCF(932, 1756, 2588) = 4
HCF of 932, 1756, 2588 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 932, 1756, 2588 is 4.
Highest Common Factor of 932,1756,2588 is 4
Step 1: Since 1756 > 932, we apply the division lemma to 1756 and 932, to get
1756 = 932 x 1 + 824
Step 2: Since the reminder 932 ≠ 0, we apply division lemma to 824 and 932, to get
932 = 824 x 1 + 108
Step 3: We consider the new divisor 824 and the new remainder 108, and apply the division lemma to get
824 = 108 x 7 + 68
We consider the new divisor 108 and the new remainder 68,and apply the division lemma to get
108 = 68 x 1 + 40
We consider the new divisor 68 and the new remainder 40,and apply the division lemma to get
68 = 40 x 1 + 28
We consider the new divisor 40 and the new remainder 28,and apply the division lemma to get
40 = 28 x 1 + 12
We consider the new divisor 28 and the new remainder 12,and apply the division lemma to get
28 = 12 x 2 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 932 and 1756 is 4
Notice that 4 = HCF(12,4) = HCF(28,12) = HCF(40,28) = HCF(68,40) = HCF(108,68) = HCF(824,108) = HCF(932,824) = HCF(1756,932) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2588 > 4, we apply the division lemma to 2588 and 4, to get
2588 = 4 x 647 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 2588 is 4
Notice that 4 = HCF(2588,4) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 932, 1756, 2588 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 932, 1756, 2588?
Answer: HCF of 932, 1756, 2588 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 932, 1756, 2588 using Euclid's Algorithm?
Answer: For arbitrary numbers 932, 1756, 2588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.