Highest Common Factor of 629, 972, 990, 458 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, 972, 990, 458 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 629, 972, 990, 458 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, 972, 990, 458 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, 972, 990, 458 is 1.
HCF(629, 972, 990, 458) = 1
HCF of 629, 972, 990, 458 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, 972, 990, 458 is 1.
Highest Common Factor of 629,972,990,458 is 1
Step 1: Since 972 > 629, we apply the division lemma to 972 and 629, to get
972 = 629 x 1 + 343
Step 2: Since the reminder 629 ≠ 0, we apply division lemma to 343 and 629, to get
629 = 343 x 1 + 286
Step 3: We consider the new divisor 343 and the new remainder 286, and apply the division lemma to get
343 = 286 x 1 + 57
We consider the new divisor 286 and the new remainder 57,and apply the division lemma to get
286 = 57 x 5 + 1
We consider the new divisor 57 and the new remainder 1,and apply the division lemma to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 629 and 972 is 1
Notice that 1 = HCF(57,1) = HCF(286,57) = HCF(343,286) = HCF(629,343) = HCF(972,629) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 990 > 1, we apply the division lemma to 990 and 1, to get
990 = 1 x 990 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 990 is 1
Notice that 1 = HCF(990,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 458 > 1, we apply the division lemma to 458 and 1, to get
458 = 1 x 458 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 458 is 1
Notice that 1 = HCF(458,1) .
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Frequently Asked Questions on HCF of 629, 972, 990, 458 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, 972, 990, 458?
Answer: HCF of 629, 972, 990, 458 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 629, 972, 990, 458 using Euclid's Algorithm?
Answer: For arbitrary numbers 629, 972, 990, 458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.