Highest Common Factor of 629, 876, 672 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 629, 876, 672 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 629, 876, 672 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 629, 876, 672 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 629, 876, 672 is 1.
HCF(629, 876, 672) = 1
HCF of 629, 876, 672 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 629, 876, 672 is 1.
Highest Common Factor of 629,876,672 is 1
Step 1: Since 876 > 629, we apply the division lemma to 876 and 629, to get
876 = 629 x 1 + 247
Step 2: Since the reminder 629 ≠ 0, we apply division lemma to 247 and 629, to get
629 = 247 x 2 + 135
Step 3: We consider the new divisor 247 and the new remainder 135, and apply the division lemma to get
247 = 135 x 1 + 112
We consider the new divisor 135 and the new remainder 112,and apply the division lemma to get
135 = 112 x 1 + 23
We consider the new divisor 112 and the new remainder 23,and apply the division lemma to get
112 = 23 x 4 + 20
We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get
23 = 20 x 1 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 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 629 and 876 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(112,23) = HCF(135,112) = HCF(247,135) = HCF(629,247) = HCF(876,629) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 672 > 1, we apply the division lemma to 672 and 1, to get
672 = 1 x 672 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 672 is 1
Notice that 1 = HCF(672,1) .
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Frequently Asked Questions on HCF of 629, 876, 672 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 629, 876, 672?
Answer: HCF of 629, 876, 672 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 629, 876, 672 using Euclid's Algorithm?
Answer: For arbitrary numbers 629, 876, 672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.