Highest Common Factor of 501, 629, 292 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 501, 629, 292 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 501, 629, 292 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 501, 629, 292 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 501, 629, 292 is 1.
HCF(501, 629, 292) = 1
HCF of 501, 629, 292 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 501, 629, 292 is 1.
Highest Common Factor of 501,629,292 is 1
Step 1: Since 629 > 501, we apply the division lemma to 629 and 501, to get
629 = 501 x 1 + 128
Step 2: Since the reminder 501 ≠ 0, we apply division lemma to 128 and 501, to get
501 = 128 x 3 + 117
Step 3: We consider the new divisor 128 and the new remainder 117, and apply the division lemma to get
128 = 117 x 1 + 11
We consider the new divisor 117 and the new remainder 11,and apply the division lemma to get
117 = 11 x 10 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 501 and 629 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(117,11) = HCF(128,117) = HCF(501,128) = HCF(629,501) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 292 > 1, we apply the division lemma to 292 and 1, to get
292 = 1 x 292 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 292 is 1
Notice that 1 = HCF(292,1) .
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Frequently Asked Questions on HCF of 501, 629, 292 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 501, 629, 292?
Answer: HCF of 501, 629, 292 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 501, 629, 292 using Euclid's Algorithm?
Answer: For arbitrary numbers 501, 629, 292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.