Highest Common Factor of 588, 938, 270 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 588, 938, 270 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 588, 938, 270 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 588, 938, 270 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 588, 938, 270 is 2.
HCF(588, 938, 270) = 2
HCF of 588, 938, 270 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 588, 938, 270 is 2.
Highest Common Factor of 588,938,270 is 2
Step 1: Since 938 > 588, we apply the division lemma to 938 and 588, to get
938 = 588 x 1 + 350
Step 2: Since the reminder 588 ≠ 0, we apply division lemma to 350 and 588, to get
588 = 350 x 1 + 238
Step 3: We consider the new divisor 350 and the new remainder 238, and apply the division lemma to get
350 = 238 x 1 + 112
We consider the new divisor 238 and the new remainder 112,and apply the division lemma to get
238 = 112 x 2 + 14
We consider the new divisor 112 and the new remainder 14,and apply the division lemma to get
112 = 14 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 588 and 938 is 14
Notice that 14 = HCF(112,14) = HCF(238,112) = HCF(350,238) = HCF(588,350) = HCF(938,588) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 270 > 14, we apply the division lemma to 270 and 14, to get
270 = 14 x 19 + 4
Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 4 and 14, to get
14 = 4 x 3 + 2
Step 3: 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 14 and 270 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(270,14) .
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Frequently Asked Questions on HCF of 588, 938, 270 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 588, 938, 270?
Answer: HCF of 588, 938, 270 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 588, 938, 270 using Euclid's Algorithm?
Answer: For arbitrary numbers 588, 938, 270 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.