Highest Common Factor of 979, 495, 452, 728 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 979, 495, 452, 728 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 979, 495, 452, 728 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 979, 495, 452, 728 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 979, 495, 452, 728 is 1.
HCF(979, 495, 452, 728) = 1
HCF of 979, 495, 452, 728 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 979, 495, 452, 728 is 1.
Highest Common Factor of 979,495,452,728 is 1
Step 1: Since 979 > 495, we apply the division lemma to 979 and 495, to get
979 = 495 x 1 + 484
Step 2: Since the reminder 495 ≠ 0, we apply division lemma to 484 and 495, to get
495 = 484 x 1 + 11
Step 3: We consider the new divisor 484 and the new remainder 11, and apply the division lemma to get
484 = 11 x 44 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 979 and 495 is 11
Notice that 11 = HCF(484,11) = HCF(495,484) = HCF(979,495) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 452 > 11, we apply the division lemma to 452 and 11, to get
452 = 11 x 41 + 1
Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 1 and 11, 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 11 and 452 is 1
Notice that 1 = HCF(11,1) = HCF(452,11) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 728 > 1, we apply the division lemma to 728 and 1, to get
728 = 1 x 728 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 728 is 1
Notice that 1 = HCF(728,1) .
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Frequently Asked Questions on HCF of 979, 495, 452, 728 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 979, 495, 452, 728?
Answer: HCF of 979, 495, 452, 728 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 979, 495, 452, 728 using Euclid's Algorithm?
Answer: For arbitrary numbers 979, 495, 452, 728 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.