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, 425, 624 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 615, 425, 624 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, 425, 624 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, 425, 624 is 1.
HCF(615, 425, 624) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 615, 425, 624 is 1.
Step 1: Since 615 > 425, we apply the division lemma to 615 and 425, to get
615 = 425 x 1 + 190
Step 2: Since the reminder 425 ≠ 0, we apply division lemma to 190 and 425, to get
425 = 190 x 2 + 45
Step 3: We consider the new divisor 190 and the new remainder 45, and apply the division lemma to get
190 = 45 x 4 + 10
We consider the new divisor 45 and the new remainder 10,and apply the division lemma to get
45 = 10 x 4 + 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 425 is 5
Notice that 5 = HCF(10,5) = HCF(45,10) = HCF(190,45) = HCF(425,190) = HCF(615,425) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 624 > 5, we apply the division lemma to 624 and 5, to get
624 = 5 x 124 + 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 624 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(624,5) .
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 615, 425, 624?
Answer: HCF of 615, 425, 624 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 615, 425, 624 using Euclid's Algorithm?
Answer: For arbitrary numbers 615, 425, 624 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.