Highest Common Factor of 699, 578, 955, 983 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 699, 578, 955, 983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 699, 578, 955, 983 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 699, 578, 955, 983 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 699, 578, 955, 983 is 1.
HCF(699, 578, 955, 983) = 1
HCF of 699, 578, 955, 983 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 699, 578, 955, 983 is 1.
Highest Common Factor of 699,578,955,983 is 1
Step 1: Since 699 > 578, we apply the division lemma to 699 and 578, to get
699 = 578 x 1 + 121
Step 2: Since the reminder 578 ≠ 0, we apply division lemma to 121 and 578, to get
578 = 121 x 4 + 94
Step 3: We consider the new divisor 121 and the new remainder 94, and apply the division lemma to get
121 = 94 x 1 + 27
We consider the new divisor 94 and the new remainder 27,and apply the division lemma to get
94 = 27 x 3 + 13
We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get
27 = 13 x 2 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 699 and 578 is 1
Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(94,27) = HCF(121,94) = HCF(578,121) = HCF(699,578) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 955 > 1, we apply the division lemma to 955 and 1, to get
955 = 1 x 955 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 955 is 1
Notice that 1 = HCF(955,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 983 > 1, we apply the division lemma to 983 and 1, to get
983 = 1 x 983 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 983 is 1
Notice that 1 = HCF(983,1) .
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Frequently Asked Questions on HCF of 699, 578, 955, 983 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 699, 578, 955, 983?
Answer: HCF of 699, 578, 955, 983 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 699, 578, 955, 983 using Euclid's Algorithm?
Answer: For arbitrary numbers 699, 578, 955, 983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.