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, 902, 10 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 995, 902, 10 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 995, 902, 10 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, 902, 10 is 1.
HCF(995, 902, 10) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 995, 902, 10 is 1.
Step 1: Since 995 > 902, we apply the division lemma to 995 and 902, to get
995 = 902 x 1 + 93
Step 2: Since the reminder 902 ≠ 0, we apply division lemma to 93 and 902, to get
902 = 93 x 9 + 65
Step 3: We consider the new divisor 93 and the new remainder 65, and apply the division lemma to get
93 = 65 x 1 + 28
We consider the new divisor 65 and the new remainder 28,and apply the division lemma to get
65 = 28 x 2 + 9
We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get
28 = 9 x 3 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 995 and 902 is 1
Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(65,28) = HCF(93,65) = HCF(902,93) = HCF(995,902) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 10 > 1, we apply the division lemma to 10 and 1, to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 10 is 1
Notice that 1 = HCF(10,1) .
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 995, 902, 10?
Answer: HCF of 995, 902, 10 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 995, 902, 10 using Euclid's Algorithm?
Answer: For arbitrary numbers 995, 902, 10 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.