Highest Common Factor of 158, 766, 914, 832 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 158, 766, 914, 832 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 158, 766, 914, 832 is 2 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 158, 766, 914, 832 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 158, 766, 914, 832 is 2.
HCF(158, 766, 914, 832) = 2
HCF of 158, 766, 914, 832 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 158, 766, 914, 832 is 2.
Highest Common Factor of 158,766,914,832 is 2
Step 1: Since 766 > 158, we apply the division lemma to 766 and 158, to get
766 = 158 x 4 + 134
Step 2: Since the reminder 158 ≠ 0, we apply division lemma to 134 and 158, to get
158 = 134 x 1 + 24
Step 3: We consider the new divisor 134 and the new remainder 24, and apply the division lemma to get
134 = 24 x 5 + 14
We consider the new divisor 24 and the new remainder 14,and apply the division lemma to get
24 = 14 x 1 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 158 and 766 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(24,14) = HCF(134,24) = HCF(158,134) = HCF(766,158) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 914 > 2, we apply the division lemma to 914 and 2, to get
914 = 2 x 457 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 914 is 2
Notice that 2 = HCF(914,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 832 > 2, we apply the division lemma to 832 and 2, to get
832 = 2 x 416 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 832 is 2
Notice that 2 = HCF(832,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 158, 766, 914, 832 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 158, 766, 914, 832?
Answer: HCF of 158, 766, 914, 832 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 158, 766, 914, 832 using Euclid's Algorithm?
Answer: For arbitrary numbers 158, 766, 914, 832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.