Highest Common Factor of 510, 977, 961, 83 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 510, 977, 961, 83 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 510, 977, 961, 83 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 510, 977, 961, 83 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 510, 977, 961, 83 is 1.
HCF(510, 977, 961, 83) = 1
HCF of 510, 977, 961, 83 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 510, 977, 961, 83 is 1.
Highest Common Factor of 510,977,961,83 is 1
Step 1: Since 977 > 510, we apply the division lemma to 977 and 510, to get
977 = 510 x 1 + 467
Step 2: Since the reminder 510 ≠ 0, we apply division lemma to 467 and 510, to get
510 = 467 x 1 + 43
Step 3: We consider the new divisor 467 and the new remainder 43, and apply the division lemma to get
467 = 43 x 10 + 37
We consider the new divisor 43 and the new remainder 37,and apply the division lemma to get
43 = 37 x 1 + 6
We consider the new divisor 37 and the new remainder 6,and apply the division lemma to get
37 = 6 x 6 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 510 and 977 is 1
Notice that 1 = HCF(6,1) = HCF(37,6) = HCF(43,37) = HCF(467,43) = HCF(510,467) = HCF(977,510) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 961 > 1, we apply the division lemma to 961 and 1, to get
961 = 1 x 961 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 961 is 1
Notice that 1 = HCF(961,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 83 > 1, we apply the division lemma to 83 and 1, to get
83 = 1 x 83 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83 is 1
Notice that 1 = HCF(83,1) .
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Frequently Asked Questions on HCF of 510, 977, 961, 83 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 510, 977, 961, 83?
Answer: HCF of 510, 977, 961, 83 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 510, 977, 961, 83 using Euclid's Algorithm?
Answer: For arbitrary numbers 510, 977, 961, 83 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.