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 8331, 7954 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8331, 7954 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 8331, 7954 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 8331, 7954 is 1.
HCF(8331, 7954) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8331, 7954 is 1.
Step 1: Since 8331 > 7954, we apply the division lemma to 8331 and 7954, to get
8331 = 7954 x 1 + 377
Step 2: Since the reminder 7954 ≠ 0, we apply division lemma to 377 and 7954, to get
7954 = 377 x 21 + 37
Step 3: We consider the new divisor 377 and the new remainder 37, and apply the division lemma to get
377 = 37 x 10 + 7
We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get
37 = 7 x 5 + 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 8331 and 7954 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(377,37) = HCF(7954,377) = HCF(8331,7954) .
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 8331, 7954?
Answer: HCF of 8331, 7954 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8331, 7954 using Euclid's Algorithm?
Answer: For arbitrary numbers 8331, 7954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.