Highest Common Factor of 782, 282, 390 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 782, 282, 390 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 782, 282, 390 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 782, 282, 390 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 782, 282, 390 is 2.
HCF(782, 282, 390) = 2
HCF of 782, 282, 390 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 782, 282, 390 is 2.
Highest Common Factor of 782,282,390 is 2
Step 1: Since 782 > 282, we apply the division lemma to 782 and 282, to get
782 = 282 x 2 + 218
Step 2: Since the reminder 282 ≠ 0, we apply division lemma to 218 and 282, to get
282 = 218 x 1 + 64
Step 3: We consider the new divisor 218 and the new remainder 64, and apply the division lemma to get
218 = 64 x 3 + 26
We consider the new divisor 64 and the new remainder 26,and apply the division lemma to get
64 = 26 x 2 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 782 and 282 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(64,26) = HCF(218,64) = HCF(282,218) = HCF(782,282) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 390 > 2, we apply the division lemma to 390 and 2, to get
390 = 2 x 195 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 390 is 2
Notice that 2 = HCF(390,2) .
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Frequently Asked Questions on HCF of 782, 282, 390 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 782, 282, 390?
Answer: HCF of 782, 282, 390 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 782, 282, 390 using Euclid's Algorithm?
Answer: For arbitrary numbers 782, 282, 390 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.