Highest Common Factor of 780, 506, 582, 96 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 780, 506, 582, 96 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 780, 506, 582, 96 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 780, 506, 582, 96 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 780, 506, 582, 96 is 2.
HCF(780, 506, 582, 96) = 2
HCF of 780, 506, 582, 96 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 780, 506, 582, 96 is 2.
Highest Common Factor of 780,506,582,96 is 2
Step 1: Since 780 > 506, we apply the division lemma to 780 and 506, to get
780 = 506 x 1 + 274
Step 2: Since the reminder 506 ≠ 0, we apply division lemma to 274 and 506, to get
506 = 274 x 1 + 232
Step 3: We consider the new divisor 274 and the new remainder 232, and apply the division lemma to get
274 = 232 x 1 + 42
We consider the new divisor 232 and the new remainder 42,and apply the division lemma to get
232 = 42 x 5 + 22
We consider the new divisor 42 and the new remainder 22,and apply the division lemma to get
42 = 22 x 1 + 20
We consider the new divisor 22 and the new remainder 20,and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 780 and 506 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(42,22) = HCF(232,42) = HCF(274,232) = HCF(506,274) = HCF(780,506) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 582 > 2, we apply the division lemma to 582 and 2, to get
582 = 2 x 291 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 582 is 2
Notice that 2 = HCF(582,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96 > 2, we apply the division lemma to 96 and 2, to get
96 = 2 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 96 is 2
Notice that 2 = HCF(96,2) .
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Frequently Asked Questions on HCF of 780, 506, 582, 96 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 780, 506, 582, 96?
Answer: HCF of 780, 506, 582, 96 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 780, 506, 582, 96 using Euclid's Algorithm?
Answer: For arbitrary numbers 780, 506, 582, 96 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.