Highest Common Factor of 392, 196, 588 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 392, 196, 588 i.e. 196 the largest integer that leaves a remainder zero for all numbers.
HCF of 392, 196, 588 is 196 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 392, 196, 588 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 392, 196, 588 is 196.
HCF(392, 196, 588) = 196
HCF of 392, 196, 588 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 392, 196, 588 is 196.
Highest Common Factor of 392,196,588 is 196
Step 1: Since 392 > 196, we apply the division lemma to 392 and 196, to get
392 = 196 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 196, the HCF of 392 and 196 is 196
Notice that 196 = HCF(392,196) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 588 > 196, we apply the division lemma to 588 and 196, to get
588 = 196 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 196, the HCF of 196 and 588 is 196
Notice that 196 = HCF(588,196) .
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Frequently Asked Questions on HCF of 392, 196, 588 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 392, 196, 588?
Answer: HCF of 392, 196, 588 is 196 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 392, 196, 588 using Euclid's Algorithm?
Answer: For arbitrary numbers 392, 196, 588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.