Highest Common Factor of 175, 816, 126 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 175, 816, 126 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 175, 816, 126 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 175, 816, 126 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 175, 816, 126 is 1.
HCF(175, 816, 126) = 1
HCF of 175, 816, 126 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 175, 816, 126 is 1.
Highest Common Factor of 175,816,126 is 1
Step 1: Since 816 > 175, we apply the division lemma to 816 and 175, to get
816 = 175 x 4 + 116
Step 2: Since the reminder 175 ≠ 0, we apply division lemma to 116 and 175, to get
175 = 116 x 1 + 59
Step 3: We consider the new divisor 116 and the new remainder 59, and apply the division lemma to get
116 = 59 x 1 + 57
We consider the new divisor 59 and the new remainder 57,and apply the division lemma to get
59 = 57 x 1 + 2
We consider the new divisor 57 and the new remainder 2,and apply the division lemma to get
57 = 2 x 28 + 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 175 and 816 is 1
Notice that 1 = HCF(2,1) = HCF(57,2) = HCF(59,57) = HCF(116,59) = HCF(175,116) = HCF(816,175) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 126 > 1, we apply the division lemma to 126 and 1, to get
126 = 1 x 126 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 126 is 1
Notice that 1 = HCF(126,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 175, 816, 126 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 175, 816, 126?
Answer: HCF of 175, 816, 126 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 175, 816, 126 using Euclid's Algorithm?
Answer: For arbitrary numbers 175, 816, 126 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.