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 981, 626, 779 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 981, 626, 779 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 981, 626, 779 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 981, 626, 779 is 1.
HCF(981, 626, 779) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 981, 626, 779 is 1.
Step 1: Since 981 > 626, we apply the division lemma to 981 and 626, to get
981 = 626 x 1 + 355
Step 2: Since the reminder 626 ≠ 0, we apply division lemma to 355 and 626, to get
626 = 355 x 1 + 271
Step 3: We consider the new divisor 355 and the new remainder 271, and apply the division lemma to get
355 = 271 x 1 + 84
We consider the new divisor 271 and the new remainder 84,and apply the division lemma to get
271 = 84 x 3 + 19
We consider the new divisor 84 and the new remainder 19,and apply the division lemma to get
84 = 19 x 4 + 8
We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get
19 = 8 x 2 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 981 and 626 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(84,19) = HCF(271,84) = HCF(355,271) = HCF(626,355) = HCF(981,626) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 779 > 1, we apply the division lemma to 779 and 1, to get
779 = 1 x 779 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 779 is 1
Notice that 1 = HCF(779,1) .
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 981, 626, 779?
Answer: HCF of 981, 626, 779 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 981, 626, 779 using Euclid's Algorithm?
Answer: For arbitrary numbers 981, 626, 779 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.