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 5959, 7234 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5959, 7234 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 5959, 7234 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 5959, 7234 is 1.
HCF(5959, 7234) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5959, 7234 is 1.
Step 1: Since 7234 > 5959, we apply the division lemma to 7234 and 5959, to get
7234 = 5959 x 1 + 1275
Step 2: Since the reminder 5959 ≠ 0, we apply division lemma to 1275 and 5959, to get
5959 = 1275 x 4 + 859
Step 3: We consider the new divisor 1275 and the new remainder 859, and apply the division lemma to get
1275 = 859 x 1 + 416
We consider the new divisor 859 and the new remainder 416,and apply the division lemma to get
859 = 416 x 2 + 27
We consider the new divisor 416 and the new remainder 27,and apply the division lemma to get
416 = 27 x 15 + 11
We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get
27 = 11 x 2 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5959 and 7234 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(416,27) = HCF(859,416) = HCF(1275,859) = HCF(5959,1275) = HCF(7234,5959) .
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 5959, 7234?
Answer: HCF of 5959, 7234 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5959, 7234 using Euclid's Algorithm?
Answer: For arbitrary numbers 5959, 7234 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.