Highest Common Factor of 708, 113, 99, 869 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 708, 113, 99, 869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 708, 113, 99, 869 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 708, 113, 99, 869 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 708, 113, 99, 869 is 1.
HCF(708, 113, 99, 869) = 1
HCF of 708, 113, 99, 869 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 708, 113, 99, 869 is 1.
Highest Common Factor of 708,113,99,869 is 1
Step 1: Since 708 > 113, we apply the division lemma to 708 and 113, to get
708 = 113 x 6 + 30
Step 2: Since the reminder 113 ≠ 0, we apply division lemma to 30 and 113, to get
113 = 30 x 3 + 23
Step 3: We consider the new divisor 30 and the new remainder 23, and apply the division lemma to get
30 = 23 x 1 + 7
We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get
23 = 7 x 3 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 708 and 113 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(30,23) = HCF(113,30) = HCF(708,113) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 99 > 1, we apply the division lemma to 99 and 1, to get
99 = 1 x 99 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99 is 1
Notice that 1 = HCF(99,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 869 > 1, we apply the division lemma to 869 and 1, to get
869 = 1 x 869 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 869 is 1
Notice that 1 = HCF(869,1) .
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Frequently Asked Questions on HCF of 708, 113, 99, 869 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 708, 113, 99, 869?
Answer: HCF of 708, 113, 99, 869 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 708, 113, 99, 869 using Euclid's Algorithm?
Answer: For arbitrary numbers 708, 113, 99, 869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.