Highest Common Factor of 29, 14, 123, 286 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 29, 14, 123, 286 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 29, 14, 123, 286 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 29, 14, 123, 286 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 29, 14, 123, 286 is 1.
HCF(29, 14, 123, 286) = 1
HCF of 29, 14, 123, 286 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 29, 14, 123, 286 is 1.
Highest Common Factor of 29,14,123,286 is 1
Step 1: Since 29 > 14, we apply the division lemma to 29 and 14, to get
29 = 14 x 2 + 1
Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 1 and 14, to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 29 and 14 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 123 > 1, we apply the division lemma to 123 and 1, to get
123 = 1 x 123 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 123 is 1
Notice that 1 = HCF(123,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 286 > 1, we apply the division lemma to 286 and 1, to get
286 = 1 x 286 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 286 is 1
Notice that 1 = HCF(286,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 29, 14, 123, 286 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 29, 14, 123, 286?
Answer: HCF of 29, 14, 123, 286 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 29, 14, 123, 286 using Euclid's Algorithm?
Answer: For arbitrary numbers 29, 14, 123, 286 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.