Highest Common Factor of 630, 974, 570 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 630, 974, 570 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 630, 974, 570 is 2 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 630, 974, 570 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 630, 974, 570 is 2.
HCF(630, 974, 570) = 2
HCF of 630, 974, 570 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 630, 974, 570 is 2.
Highest Common Factor of 630,974,570 is 2
Step 1: Since 974 > 630, we apply the division lemma to 974 and 630, to get
974 = 630 x 1 + 344
Step 2: Since the reminder 630 ≠ 0, we apply division lemma to 344 and 630, to get
630 = 344 x 1 + 286
Step 3: We consider the new divisor 344 and the new remainder 286, and apply the division lemma to get
344 = 286 x 1 + 58
We consider the new divisor 286 and the new remainder 58,and apply the division lemma to get
286 = 58 x 4 + 54
We consider the new divisor 58 and the new remainder 54,and apply the division lemma to get
58 = 54 x 1 + 4
We consider the new divisor 54 and the new remainder 4,and apply the division lemma to get
54 = 4 x 13 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 630 and 974 is 2
Notice that 2 = HCF(4,2) = HCF(54,4) = HCF(58,54) = HCF(286,58) = HCF(344,286) = HCF(630,344) = HCF(974,630) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 570 > 2, we apply the division lemma to 570 and 2, to get
570 = 2 x 285 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 570 is 2
Notice that 2 = HCF(570,2) .
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Frequently Asked Questions on HCF of 630, 974, 570 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 630, 974, 570?
Answer: HCF of 630, 974, 570 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 630, 974, 570 using Euclid's Algorithm?
Answer: For arbitrary numbers 630, 974, 570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
