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 982, 715, 76 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 982, 715, 76 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 982, 715, 76 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 982, 715, 76 is 1.
HCF(982, 715, 76) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 982, 715, 76 is 1.
Step 1: Since 982 > 715, we apply the division lemma to 982 and 715, to get
982 = 715 x 1 + 267
Step 2: Since the reminder 715 ≠ 0, we apply division lemma to 267 and 715, to get
715 = 267 x 2 + 181
Step 3: We consider the new divisor 267 and the new remainder 181, and apply the division lemma to get
267 = 181 x 1 + 86
We consider the new divisor 181 and the new remainder 86,and apply the division lemma to get
181 = 86 x 2 + 9
We consider the new divisor 86 and the new remainder 9,and apply the division lemma to get
86 = 9 x 9 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 982 and 715 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(86,9) = HCF(181,86) = HCF(267,181) = HCF(715,267) = HCF(982,715) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 76 > 1, we apply the division lemma to 76 and 1, to get
76 = 1 x 76 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 76 is 1
Notice that 1 = HCF(76,1) .
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 982, 715, 76?
Answer: HCF of 982, 715, 76 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 982, 715, 76 using Euclid's Algorithm?
Answer: For arbitrary numbers 982, 715, 76 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.