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 979, 618, 284 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 979, 618, 284 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 979, 618, 284 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 979, 618, 284 is 1.
HCF(979, 618, 284) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 979, 618, 284 is 1.
Step 1: Since 979 > 618, we apply the division lemma to 979 and 618, to get
979 = 618 x 1 + 361
Step 2: Since the reminder 618 ≠ 0, we apply division lemma to 361 and 618, to get
618 = 361 x 1 + 257
Step 3: We consider the new divisor 361 and the new remainder 257, and apply the division lemma to get
361 = 257 x 1 + 104
We consider the new divisor 257 and the new remainder 104,and apply the division lemma to get
257 = 104 x 2 + 49
We consider the new divisor 104 and the new remainder 49,and apply the division lemma to get
104 = 49 x 2 + 6
We consider the new divisor 49 and the new remainder 6,and apply the division lemma to get
49 = 6 x 8 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 979 and 618 is 1
Notice that 1 = HCF(6,1) = HCF(49,6) = HCF(104,49) = HCF(257,104) = HCF(361,257) = HCF(618,361) = HCF(979,618) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 284 > 1, we apply the division lemma to 284 and 1, to get
284 = 1 x 284 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 284 is 1
Notice that 1 = HCF(284,1) .
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 979, 618, 284?
Answer: HCF of 979, 618, 284 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 979, 618, 284 using Euclid's Algorithm?
Answer: For arbitrary numbers 979, 618, 284 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.