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 7367, 4969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7367, 4969 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 7367, 4969 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 7367, 4969 is 1.
HCF(7367, 4969) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7367, 4969 is 1.
Step 1: Since 7367 > 4969, we apply the division lemma to 7367 and 4969, to get
7367 = 4969 x 1 + 2398
Step 2: Since the reminder 4969 ≠ 0, we apply division lemma to 2398 and 4969, to get
4969 = 2398 x 2 + 173
Step 3: We consider the new divisor 2398 and the new remainder 173, and apply the division lemma to get
2398 = 173 x 13 + 149
We consider the new divisor 173 and the new remainder 149,and apply the division lemma to get
173 = 149 x 1 + 24
We consider the new divisor 149 and the new remainder 24,and apply the division lemma to get
149 = 24 x 6 + 5
We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get
24 = 5 x 4 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
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 7367 and 4969 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(149,24) = HCF(173,149) = HCF(2398,173) = HCF(4969,2398) = HCF(7367,4969) .
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 7367, 4969?
Answer: HCF of 7367, 4969 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7367, 4969 using Euclid's Algorithm?
Answer: For arbitrary numbers 7367, 4969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.