Highest Common Factor of 491, 770, 710, 58 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 491, 770, 710, 58 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 491, 770, 710, 58 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 491, 770, 710, 58 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 491, 770, 710, 58 is 1.
HCF(491, 770, 710, 58) = 1
HCF of 491, 770, 710, 58 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 491, 770, 710, 58 is 1.
Highest Common Factor of 491,770,710,58 is 1
Step 1: Since 770 > 491, we apply the division lemma to 770 and 491, to get
770 = 491 x 1 + 279
Step 2: Since the reminder 491 ≠ 0, we apply division lemma to 279 and 491, to get
491 = 279 x 1 + 212
Step 3: We consider the new divisor 279 and the new remainder 212, and apply the division lemma to get
279 = 212 x 1 + 67
We consider the new divisor 212 and the new remainder 67,and apply the division lemma to get
212 = 67 x 3 + 11
We consider the new divisor 67 and the new remainder 11,and apply the division lemma to get
67 = 11 x 6 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 491 and 770 is 1
Notice that 1 = HCF(11,1) = HCF(67,11) = HCF(212,67) = HCF(279,212) = HCF(491,279) = HCF(770,491) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 710 > 1, we apply the division lemma to 710 and 1, to get
710 = 1 x 710 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 710 is 1
Notice that 1 = HCF(710,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58 > 1, we apply the division lemma to 58 and 1, to get
58 = 1 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58 is 1
Notice that 1 = HCF(58,1) .
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Frequently Asked Questions on HCF of 491, 770, 710, 58 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 491, 770, 710, 58?
Answer: HCF of 491, 770, 710, 58 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 491, 770, 710, 58 using Euclid's Algorithm?
Answer: For arbitrary numbers 491, 770, 710, 58 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.