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 980, 833, 820 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 980, 833, 820 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 980, 833, 820 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 980, 833, 820 is 1.
HCF(980, 833, 820) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 980, 833, 820 is 1.
Step 1: Since 980 > 833, we apply the division lemma to 980 and 833, to get
980 = 833 x 1 + 147
Step 2: Since the reminder 833 ≠ 0, we apply division lemma to 147 and 833, to get
833 = 147 x 5 + 98
Step 3: We consider the new divisor 147 and the new remainder 98, and apply the division lemma to get
147 = 98 x 1 + 49
We consider the new divisor 98 and the new remainder 49, and apply the division lemma to get
98 = 49 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 49, the HCF of 980 and 833 is 49
Notice that 49 = HCF(98,49) = HCF(147,98) = HCF(833,147) = HCF(980,833) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 820 > 49, we apply the division lemma to 820 and 49, to get
820 = 49 x 16 + 36
Step 2: Since the reminder 49 ≠ 0, we apply division lemma to 36 and 49, to get
49 = 36 x 1 + 13
Step 3: We consider the new divisor 36 and the new remainder 13, and apply the division lemma to get
36 = 13 x 2 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 49 and 820 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(36,13) = HCF(49,36) = HCF(820,49) .
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 980, 833, 820?
Answer: HCF of 980, 833, 820 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 980, 833, 820 using Euclid's Algorithm?
Answer: For arbitrary numbers 980, 833, 820 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.