Highest Common Factor of 962, 361, 964, 782 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 962, 361, 964, 782 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 962, 361, 964, 782 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 962, 361, 964, 782 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 962, 361, 964, 782 is 1.
HCF(962, 361, 964, 782) = 1
HCF of 962, 361, 964, 782 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 962, 361, 964, 782 is 1.
Highest Common Factor of 962,361,964,782 is 1
Step 1: Since 962 > 361, we apply the division lemma to 962 and 361, to get
962 = 361 x 2 + 240
Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 240 and 361, to get
361 = 240 x 1 + 121
Step 3: We consider the new divisor 240 and the new remainder 121, and apply the division lemma to get
240 = 121 x 1 + 119
We consider the new divisor 121 and the new remainder 119,and apply the division lemma to get
121 = 119 x 1 + 2
We consider the new divisor 119 and the new remainder 2,and apply the division lemma to get
119 = 2 x 59 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 962 and 361 is 1
Notice that 1 = HCF(2,1) = HCF(119,2) = HCF(121,119) = HCF(240,121) = HCF(361,240) = HCF(962,361) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 964 > 1, we apply the division lemma to 964 and 1, to get
964 = 1 x 964 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 964 is 1
Notice that 1 = HCF(964,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 782 > 1, we apply the division lemma to 782 and 1, to get
782 = 1 x 782 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 782 is 1
Notice that 1 = HCF(782,1) .
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Frequently Asked Questions on HCF of 962, 361, 964, 782 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 962, 361, 964, 782?
Answer: HCF of 962, 361, 964, 782 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 962, 361, 964, 782 using Euclid's Algorithm?
Answer: For arbitrary numbers 962, 361, 964, 782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.