Highest Common Factor of 472, 679, 947, 504 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 472, 679, 947, 504 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 472, 679, 947, 504 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 472, 679, 947, 504 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 472, 679, 947, 504 is 1.
HCF(472, 679, 947, 504) = 1
HCF of 472, 679, 947, 504 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 472, 679, 947, 504 is 1.
Highest Common Factor of 472,679,947,504 is 1
Step 1: Since 679 > 472, we apply the division lemma to 679 and 472, to get
679 = 472 x 1 + 207
Step 2: Since the reminder 472 ≠ 0, we apply division lemma to 207 and 472, to get
472 = 207 x 2 + 58
Step 3: We consider the new divisor 207 and the new remainder 58, and apply the division lemma to get
207 = 58 x 3 + 33
We consider the new divisor 58 and the new remainder 33,and apply the division lemma to get
58 = 33 x 1 + 25
We consider the new divisor 33 and the new remainder 25,and apply the division lemma to get
33 = 25 x 1 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 472 and 679 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(33,25) = HCF(58,33) = HCF(207,58) = HCF(472,207) = HCF(679,472) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 947 > 1, we apply the division lemma to 947 and 1, to get
947 = 1 x 947 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 947 is 1
Notice that 1 = HCF(947,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 504 > 1, we apply the division lemma to 504 and 1, to get
504 = 1 x 504 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 504 is 1
Notice that 1 = HCF(504,1) .
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Frequently Asked Questions on HCF of 472, 679, 947, 504 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 472, 679, 947, 504?
Answer: HCF of 472, 679, 947, 504 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 472, 679, 947, 504 using Euclid's Algorithm?
Answer: For arbitrary numbers 472, 679, 947, 504 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.