Highest Common Factor of 595, 357 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 595, 357 i.e. 119 the largest integer that leaves a remainder zero for all numbers.
HCF of 595, 357 is 119 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 595, 357 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 595, 357 is 119.
HCF(595, 357) = 119
HCF of 595, 357 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 595, 357 is 119.
Highest Common Factor of 595,357 is 119
Step 1: Since 595 > 357, we apply the division lemma to 595 and 357, to get
595 = 357 x 1 + 238
Step 2: Since the reminder 357 ≠ 0, we apply division lemma to 238 and 357, to get
357 = 238 x 1 + 119
Step 3: We consider the new divisor 238 and the new remainder 119, and apply the division lemma to get
238 = 119 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 119, the HCF of 595 and 357 is 119
Notice that 119 = HCF(238,119) = HCF(357,238) = HCF(595,357) .
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Frequently Asked Questions on HCF of 595, 357 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 595, 357?
Answer: HCF of 595, 357 is 119 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 595, 357 using Euclid's Algorithm?
Answer: For arbitrary numbers 595, 357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.