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 902, 615, 836 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 902, 615, 836 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 902, 615, 836 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 902, 615, 836 is 1.
HCF(902, 615, 836) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 902, 615, 836 is 1.
Step 1: Since 902 > 615, we apply the division lemma to 902 and 615, to get
902 = 615 x 1 + 287
Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 287 and 615, to get
615 = 287 x 2 + 41
Step 3: We consider the new divisor 287 and the new remainder 41, and apply the division lemma to get
287 = 41 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 41, the HCF of 902 and 615 is 41
Notice that 41 = HCF(287,41) = HCF(615,287) = HCF(902,615) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 836 > 41, we apply the division lemma to 836 and 41, to get
836 = 41 x 20 + 16
Step 2: Since the reminder 41 ≠ 0, we apply division lemma to 16 and 41, to get
41 = 16 x 2 + 9
Step 3: We consider the new divisor 16 and the new remainder 9, and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 41 and 836 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(41,16) = HCF(836,41) .
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 902, 615, 836?
Answer: HCF of 902, 615, 836 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 902, 615, 836 using Euclid's Algorithm?
Answer: For arbitrary numbers 902, 615, 836 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.