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 995, 615, 825 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 995, 615, 825 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 995, 615, 825 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 995, 615, 825 is 5.
HCF(995, 615, 825) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 995, 615, 825 is 5.
Step 1: Since 995 > 615, we apply the division lemma to 995 and 615, to get
995 = 615 x 1 + 380
Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 380 and 615, to get
615 = 380 x 1 + 235
Step 3: We consider the new divisor 380 and the new remainder 235, and apply the division lemma to get
380 = 235 x 1 + 145
We consider the new divisor 235 and the new remainder 145,and apply the division lemma to get
235 = 145 x 1 + 90
We consider the new divisor 145 and the new remainder 90,and apply the division lemma to get
145 = 90 x 1 + 55
We consider the new divisor 90 and the new remainder 55,and apply the division lemma to get
90 = 55 x 1 + 35
We consider the new divisor 55 and the new remainder 35,and apply the division lemma to get
55 = 35 x 1 + 20
We consider the new divisor 35 and the new remainder 20,and apply the division lemma to get
35 = 20 x 1 + 15
We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get
20 = 15 x 1 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 995 and 615 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(35,20) = HCF(55,35) = HCF(90,55) = HCF(145,90) = HCF(235,145) = HCF(380,235) = HCF(615,380) = HCF(995,615) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 825 > 5, we apply the division lemma to 825 and 5, to get
825 = 5 x 165 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 825 is 5
Notice that 5 = HCF(825,5) .
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 995, 615, 825?
Answer: HCF of 995, 615, 825 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 995, 615, 825 using Euclid's Algorithm?
Answer: For arbitrary numbers 995, 615, 825 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.