Highest Common Factor of 340, 595, 835 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 340, 595, 835 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 340, 595, 835 is 5 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 340, 595, 835 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 340, 595, 835 is 5.
HCF(340, 595, 835) = 5
HCF of 340, 595, 835 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 340, 595, 835 is 5.
Highest Common Factor of 340,595,835 is 5
Step 1: Since 595 > 340, we apply the division lemma to 595 and 340, to get
595 = 340 x 1 + 255
Step 2: Since the reminder 340 ≠ 0, we apply division lemma to 255 and 340, to get
340 = 255 x 1 + 85
Step 3: We consider the new divisor 255 and the new remainder 85, and apply the division lemma to get
255 = 85 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 85, the HCF of 340 and 595 is 85
Notice that 85 = HCF(255,85) = HCF(340,255) = HCF(595,340) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 835 > 85, we apply the division lemma to 835 and 85, to get
835 = 85 x 9 + 70
Step 2: Since the reminder 85 ≠ 0, we apply division lemma to 70 and 85, to get
85 = 70 x 1 + 15
Step 3: We consider the new divisor 70 and the new remainder 15, and apply the division lemma to get
70 = 15 x 4 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 85 and 835 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(70,15) = HCF(85,70) = HCF(835,85) .
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Frequently Asked Questions on HCF of 340, 595, 835 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 340, 595, 835?
Answer: HCF of 340, 595, 835 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 340, 595, 835 using Euclid's Algorithm?
Answer: For arbitrary numbers 340, 595, 835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.