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 4372, 7991 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4372, 7991 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 4372, 7991 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 4372, 7991 is 1.
HCF(4372, 7991) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4372, 7991 is 1.
Step 1: Since 7991 > 4372, we apply the division lemma to 7991 and 4372, to get
7991 = 4372 x 1 + 3619
Step 2: Since the reminder 4372 ≠ 0, we apply division lemma to 3619 and 4372, to get
4372 = 3619 x 1 + 753
Step 3: We consider the new divisor 3619 and the new remainder 753, and apply the division lemma to get
3619 = 753 x 4 + 607
We consider the new divisor 753 and the new remainder 607,and apply the division lemma to get
753 = 607 x 1 + 146
We consider the new divisor 607 and the new remainder 146,and apply the division lemma to get
607 = 146 x 4 + 23
We consider the new divisor 146 and the new remainder 23,and apply the division lemma to get
146 = 23 x 6 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4372 and 7991 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(146,23) = HCF(607,146) = HCF(753,607) = HCF(3619,753) = HCF(4372,3619) = HCF(7991,4372) .
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 4372, 7991?
Answer: HCF of 4372, 7991 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4372, 7991 using Euclid's Algorithm?
Answer: For arbitrary numbers 4372, 7991 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.