Highest Common Factor of 580, 348 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 580, 348 i.e. 116 the largest integer that leaves a remainder zero for all numbers.
HCF of 580, 348 is 116 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 580, 348 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 580, 348 is 116.
HCF(580, 348) = 116
HCF of 580, 348 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 580, 348 is 116.
Highest Common Factor of 580,348 is 116
Step 1: Since 580 > 348, we apply the division lemma to 580 and 348, to get
580 = 348 x 1 + 232
Step 2: Since the reminder 348 ≠ 0, we apply division lemma to 232 and 348, to get
348 = 232 x 1 + 116
Step 3: We consider the new divisor 232 and the new remainder 116, and apply the division lemma to get
232 = 116 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 116, the HCF of 580 and 348 is 116
Notice that 116 = HCF(232,116) = HCF(348,232) = HCF(580,348) .
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Frequently Asked Questions on HCF of 580, 348 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 580, 348?
Answer: HCF of 580, 348 is 116 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 580, 348 using Euclid's Algorithm?
Answer: For arbitrary numbers 580, 348 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
