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 8060, 8974 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8060, 8974 is 2 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 8060, 8974 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 8060, 8974 is 2.
HCF(8060, 8974) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8060, 8974 is 2.
Step 1: Since 8974 > 8060, we apply the division lemma to 8974 and 8060, to get
8974 = 8060 x 1 + 914
Step 2: Since the reminder 8060 ≠ 0, we apply division lemma to 914 and 8060, to get
8060 = 914 x 8 + 748
Step 3: We consider the new divisor 914 and the new remainder 748, and apply the division lemma to get
914 = 748 x 1 + 166
We consider the new divisor 748 and the new remainder 166,and apply the division lemma to get
748 = 166 x 4 + 84
We consider the new divisor 166 and the new remainder 84,and apply the division lemma to get
166 = 84 x 1 + 82
We consider the new divisor 84 and the new remainder 82,and apply the division lemma to get
84 = 82 x 1 + 2
We consider the new divisor 82 and the new remainder 2,and apply the division lemma to get
82 = 2 x 41 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8060 and 8974 is 2
Notice that 2 = HCF(82,2) = HCF(84,82) = HCF(166,84) = HCF(748,166) = HCF(914,748) = HCF(8060,914) = HCF(8974,8060) .
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 8060, 8974?
Answer: HCF of 8060, 8974 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8060, 8974 using Euclid's Algorithm?
Answer: For arbitrary numbers 8060, 8974 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.