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 4582, 7799 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4582, 7799 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 4582, 7799 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 4582, 7799 is 1.
HCF(4582, 7799) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4582, 7799 is 1.
Step 1: Since 7799 > 4582, we apply the division lemma to 7799 and 4582, to get
7799 = 4582 x 1 + 3217
Step 2: Since the reminder 4582 ≠ 0, we apply division lemma to 3217 and 4582, to get
4582 = 3217 x 1 + 1365
Step 3: We consider the new divisor 3217 and the new remainder 1365, and apply the division lemma to get
3217 = 1365 x 2 + 487
We consider the new divisor 1365 and the new remainder 487,and apply the division lemma to get
1365 = 487 x 2 + 391
We consider the new divisor 487 and the new remainder 391,and apply the division lemma to get
487 = 391 x 1 + 96
We consider the new divisor 391 and the new remainder 96,and apply the division lemma to get
391 = 96 x 4 + 7
We consider the new divisor 96 and the new remainder 7,and apply the division lemma to get
96 = 7 x 13 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 4582 and 7799 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(96,7) = HCF(391,96) = HCF(487,391) = HCF(1365,487) = HCF(3217,1365) = HCF(4582,3217) = HCF(7799,4582) .
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 4582, 7799?
Answer: HCF of 4582, 7799 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4582, 7799 using Euclid's Algorithm?
Answer: For arbitrary numbers 4582, 7799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.