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 365, 639, 615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 365, 639, 615 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 365, 639, 615 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 365, 639, 615 is 1.
HCF(365, 639, 615) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 365, 639, 615 is 1.
Step 1: Since 639 > 365, we apply the division lemma to 639 and 365, to get
639 = 365 x 1 + 274
Step 2: Since the reminder 365 ≠ 0, we apply division lemma to 274 and 365, to get
365 = 274 x 1 + 91
Step 3: We consider the new divisor 274 and the new remainder 91, and apply the division lemma to get
274 = 91 x 3 + 1
We consider the new divisor 91 and the new remainder 1, and apply the division lemma to get
91 = 1 x 91 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 365 and 639 is 1
Notice that 1 = HCF(91,1) = HCF(274,91) = HCF(365,274) = HCF(639,365) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 615 > 1, we apply the division lemma to 615 and 1, to get
615 = 1 x 615 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 615 is 1
Notice that 1 = HCF(615,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 365, 639, 615?
Answer: HCF of 365, 639, 615 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 365, 639, 615 using Euclid's Algorithm?
Answer: For arbitrary numbers 365, 639, 615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.