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 994, 365 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 994, 365 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 994, 365 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 994, 365 is 1.
HCF(994, 365) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 994, 365 is 1.
Step 1: Since 994 > 365, we apply the division lemma to 994 and 365, to get
994 = 365 x 2 + 264
Step 2: Since the reminder 365 ≠ 0, we apply division lemma to 264 and 365, to get
365 = 264 x 1 + 101
Step 3: We consider the new divisor 264 and the new remainder 101, and apply the division lemma to get
264 = 101 x 2 + 62
We consider the new divisor 101 and the new remainder 62,and apply the division lemma to get
101 = 62 x 1 + 39
We consider the new divisor 62 and the new remainder 39,and apply the division lemma to get
62 = 39 x 1 + 23
We consider the new divisor 39 and the new remainder 23,and apply the division lemma to get
39 = 23 x 1 + 16
We consider the new divisor 23 and the new remainder 16,and apply the division lemma to get
23 = 16 x 1 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 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 994 and 365 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(23,16) = HCF(39,23) = HCF(62,39) = HCF(101,62) = HCF(264,101) = HCF(365,264) = HCF(994,365) .
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 994, 365?
Answer: HCF of 994, 365 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 994, 365 using Euclid's Algorithm?
Answer: For arbitrary numbers 994, 365 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.