Highest Common Factor of 854, 980, 791, 589 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 854, 980, 791, 589 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 854, 980, 791, 589 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 854, 980, 791, 589 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 854, 980, 791, 589 is 1.
HCF(854, 980, 791, 589) = 1
HCF of 854, 980, 791, 589 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 854, 980, 791, 589 is 1.
Highest Common Factor of 854,980,791,589 is 1
Step 1: Since 980 > 854, we apply the division lemma to 980 and 854, to get
980 = 854 x 1 + 126
Step 2: Since the reminder 854 ≠ 0, we apply division lemma to 126 and 854, to get
854 = 126 x 6 + 98
Step 3: We consider the new divisor 126 and the new remainder 98, and apply the division lemma to get
126 = 98 x 1 + 28
We consider the new divisor 98 and the new remainder 28,and apply the division lemma to get
98 = 28 x 3 + 14
We consider the new divisor 28 and the new remainder 14,and apply the division lemma to get
28 = 14 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 854 and 980 is 14
Notice that 14 = HCF(28,14) = HCF(98,28) = HCF(126,98) = HCF(854,126) = HCF(980,854) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 791 > 14, we apply the division lemma to 791 and 14, to get
791 = 14 x 56 + 7
Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 7 and 14, to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 14 and 791 is 7
Notice that 7 = HCF(14,7) = HCF(791,14) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 589 > 7, we apply the division lemma to 589 and 7, to get
589 = 7 x 84 + 1
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 1 and 7, to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7 and 589 is 1
Notice that 1 = HCF(7,1) = HCF(589,7) .
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Frequently Asked Questions on HCF of 854, 980, 791, 589 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 854, 980, 791, 589?
Answer: HCF of 854, 980, 791, 589 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 854, 980, 791, 589 using Euclid's Algorithm?
Answer: For arbitrary numbers 854, 980, 791, 589 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.