Highest Common Factor of 980, 590, 454 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 980, 590, 454 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 980, 590, 454 is 2 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, 590, 454 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, 590, 454 is 2.
HCF(980, 590, 454) = 2
HCF of 980, 590, 454 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 980, 590, 454 is 2.
Highest Common Factor of 980,590,454 is 2
Step 1: Since 980 > 590, we apply the division lemma to 980 and 590, to get
980 = 590 x 1 + 390
Step 2: Since the reminder 590 ≠ 0, we apply division lemma to 390 and 590, to get
590 = 390 x 1 + 200
Step 3: We consider the new divisor 390 and the new remainder 200, and apply the division lemma to get
390 = 200 x 1 + 190
We consider the new divisor 200 and the new remainder 190,and apply the division lemma to get
200 = 190 x 1 + 10
We consider the new divisor 190 and the new remainder 10,and apply the division lemma to get
190 = 10 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 980 and 590 is 10
Notice that 10 = HCF(190,10) = HCF(200,190) = HCF(390,200) = HCF(590,390) = HCF(980,590) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 454 > 10, we apply the division lemma to 454 and 10, to get
454 = 10 x 45 + 4
Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 4 and 10, to get
10 = 4 x 2 + 2
Step 3: We consider the new divisor 4 and the new remainder 2, and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 10 and 454 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(454,10) .
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Frequently Asked Questions on HCF of 980, 590, 454 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 980, 590, 454?
Answer: HCF of 980, 590, 454 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 980, 590, 454 using Euclid's Algorithm?
Answer: For arbitrary numbers 980, 590, 454 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.