Highest Common Factor of 585, 947, 52, 374 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 585, 947, 52, 374 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 585, 947, 52, 374 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 585, 947, 52, 374 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 585, 947, 52, 374 is 1.
HCF(585, 947, 52, 374) = 1
HCF of 585, 947, 52, 374 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 585, 947, 52, 374 is 1.
Highest Common Factor of 585,947,52,374 is 1
Step 1: Since 947 > 585, we apply the division lemma to 947 and 585, to get
947 = 585 x 1 + 362
Step 2: Since the reminder 585 ≠ 0, we apply division lemma to 362 and 585, to get
585 = 362 x 1 + 223
Step 3: We consider the new divisor 362 and the new remainder 223, and apply the division lemma to get
362 = 223 x 1 + 139
We consider the new divisor 223 and the new remainder 139,and apply the division lemma to get
223 = 139 x 1 + 84
We consider the new divisor 139 and the new remainder 84,and apply the division lemma to get
139 = 84 x 1 + 55
We consider the new divisor 84 and the new remainder 55,and apply the division lemma to get
84 = 55 x 1 + 29
We consider the new divisor 55 and the new remainder 29,and apply the division lemma to get
55 = 29 x 1 + 26
We consider the new divisor 29 and the new remainder 26,and apply the division lemma to get
29 = 26 x 1 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 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 585 and 947 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(29,26) = HCF(55,29) = HCF(84,55) = HCF(139,84) = HCF(223,139) = HCF(362,223) = HCF(585,362) = HCF(947,585) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52 > 1, we apply the division lemma to 52 and 1, to get
52 = 1 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52 is 1
Notice that 1 = HCF(52,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 374 > 1, we apply the division lemma to 374 and 1, to get
374 = 1 x 374 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 374 is 1
Notice that 1 = HCF(374,1) .
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Frequently Asked Questions on HCF of 585, 947, 52, 374 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 585, 947, 52, 374?
Answer: HCF of 585, 947, 52, 374 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 585, 947, 52, 374 using Euclid's Algorithm?
Answer: For arbitrary numbers 585, 947, 52, 374 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.