Highest Common Factor of 615, 940, 34 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 615, 940, 34 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 615, 940, 34 is 1 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 615, 940, 34 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 615, 940, 34 is 1.
HCF(615, 940, 34) = 1
HCF of 615, 940, 34 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 615, 940, 34 is 1.
Highest Common Factor of 615,940,34 is 1
Step 1: Since 940 > 615, we apply the division lemma to 940 and 615, to get
940 = 615 x 1 + 325
Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 325 and 615, to get
615 = 325 x 1 + 290
Step 3: We consider the new divisor 325 and the new remainder 290, and apply the division lemma to get
325 = 290 x 1 + 35
We consider the new divisor 290 and the new remainder 35,and apply the division lemma to get
290 = 35 x 8 + 10
We consider the new divisor 35 and the new remainder 10,and apply the division lemma to get
35 = 10 x 3 + 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 615 and 940 is 5
Notice that 5 = HCF(10,5) = HCF(35,10) = HCF(290,35) = HCF(325,290) = HCF(615,325) = HCF(940,615) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 34 > 5, we apply the division lemma to 34 and 5, to get
34 = 5 x 6 + 4
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get
5 = 4 x 1 + 1
Step 3: We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 34 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(34,5) .
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Frequently Asked Questions on HCF of 615, 940, 34 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 615, 940, 34?
Answer: HCF of 615, 940, 34 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 615, 940, 34 using Euclid's Algorithm?
Answer: For arbitrary numbers 615, 940, 34 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.