Highest Common Factor of 977, 279, 820 using Euclid's algorithm
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 977, 279, 820 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 977, 279, 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 977, 279, 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 977, 279, 820 is 1.
HCF(977, 279, 820) = 1
HCF of 977, 279, 820 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 977, 279, 820 is 1.
Highest Common Factor of 977,279,820 is 1
Step 1: Since 977 > 279, we apply the division lemma to 977 and 279, to get
977 = 279 x 3 + 140
Step 2: Since the reminder 279 ≠ 0, we apply division lemma to 140 and 279, to get
279 = 140 x 1 + 139
Step 3: We consider the new divisor 140 and the new remainder 139, and apply the division lemma to get
140 = 139 x 1 + 1
We consider the new divisor 139 and the new remainder 1, and apply the division lemma to get
139 = 1 x 139 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 977 and 279 is 1
Notice that 1 = HCF(139,1) = HCF(140,139) = HCF(279,140) = HCF(977,279) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 820 > 1, we apply the division lemma to 820 and 1, to get
820 = 1 x 820 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 820 is 1
Notice that 1 = HCF(820,1) .
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Frequently Asked Questions on HCF of 977, 279, 820 using Euclid's Algorithm
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 977, 279, 820?
Answer: HCF of 977, 279, 820 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 977, 279, 820 using Euclid's Algorithm?
Answer: For arbitrary numbers 977, 279, 820 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.