Highest Common Factor of 749, 199, 159, 25 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 749, 199, 159, 25 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 749, 199, 159, 25 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 749, 199, 159, 25 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 749, 199, 159, 25 is 1.
HCF(749, 199, 159, 25) = 1
HCF of 749, 199, 159, 25 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 749, 199, 159, 25 is 1.
Highest Common Factor of 749,199,159,25 is 1
Step 1: Since 749 > 199, we apply the division lemma to 749 and 199, to get
749 = 199 x 3 + 152
Step 2: Since the reminder 199 ≠ 0, we apply division lemma to 152 and 199, to get
199 = 152 x 1 + 47
Step 3: We consider the new divisor 152 and the new remainder 47, and apply the division lemma to get
152 = 47 x 3 + 11
We consider the new divisor 47 and the new remainder 11,and apply the division lemma to get
47 = 11 x 4 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 749 and 199 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(47,11) = HCF(152,47) = HCF(199,152) = HCF(749,199) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 159 > 1, we apply the division lemma to 159 and 1, to get
159 = 1 x 159 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 159 is 1
Notice that 1 = HCF(159,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 25 > 1, we apply the division lemma to 25 and 1, to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 25 is 1
Notice that 1 = HCF(25,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 749, 199, 159, 25 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 749, 199, 159, 25?
Answer: HCF of 749, 199, 159, 25 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 749, 199, 159, 25 using Euclid's Algorithm?
Answer: For arbitrary numbers 749, 199, 159, 25 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.