Highest Common Factor of 722, 149, 52 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 722, 149, 52 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 722, 149, 52 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 722, 149, 52 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 722, 149, 52 is 1.
HCF(722, 149, 52) = 1
HCF of 722, 149, 52 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 722, 149, 52 is 1.
Highest Common Factor of 722,149,52 is 1
Step 1: Since 722 > 149, we apply the division lemma to 722 and 149, to get
722 = 149 x 4 + 126
Step 2: Since the reminder 149 ≠ 0, we apply division lemma to 126 and 149, to get
149 = 126 x 1 + 23
Step 3: We consider the new divisor 126 and the new remainder 23, and apply the division lemma to get
126 = 23 x 5 + 11
We consider the new divisor 23 and the new remainder 11,and apply the division lemma to get
23 = 11 x 2 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 722 and 149 is 1
Notice that 1 = HCF(11,1) = HCF(23,11) = HCF(126,23) = HCF(149,126) = HCF(722,149) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52 > 1, we apply the division lemma to 52 and 1, to get
52 = 1 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52 is 1
Notice that 1 = HCF(52,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 722, 149, 52 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 722, 149, 52?
Answer: HCF of 722, 149, 52 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 722, 149, 52 using Euclid's Algorithm?
Answer: For arbitrary numbers 722, 149, 52 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.