Highest Common Factor of 703, 498, 620, 65 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 703, 498, 620, 65 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 703, 498, 620, 65 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 703, 498, 620, 65 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 703, 498, 620, 65 is 1.
HCF(703, 498, 620, 65) = 1
HCF of 703, 498, 620, 65 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 703, 498, 620, 65 is 1.
Highest Common Factor of 703,498,620,65 is 1
Step 1: Since 703 > 498, we apply the division lemma to 703 and 498, to get
703 = 498 x 1 + 205
Step 2: Since the reminder 498 ≠ 0, we apply division lemma to 205 and 498, to get
498 = 205 x 2 + 88
Step 3: We consider the new divisor 205 and the new remainder 88, and apply the division lemma to get
205 = 88 x 2 + 29
We consider the new divisor 88 and the new remainder 29,and apply the division lemma to get
88 = 29 x 3 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 703 and 498 is 1
Notice that 1 = HCF(29,1) = HCF(88,29) = HCF(205,88) = HCF(498,205) = HCF(703,498) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 620 > 1, we apply the division lemma to 620 and 1, to get
620 = 1 x 620 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 620 is 1
Notice that 1 = HCF(620,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 65 > 1, we apply the division lemma to 65 and 1, to get
65 = 1 x 65 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65 is 1
Notice that 1 = HCF(65,1) .
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Frequently Asked Questions on HCF of 703, 498, 620, 65 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 703, 498, 620, 65?
Answer: HCF of 703, 498, 620, 65 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 703, 498, 620, 65 using Euclid's Algorithm?
Answer: For arbitrary numbers 703, 498, 620, 65 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.