Highest Common Factor of 868, 723, 883, 635 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 868, 723, 883, 635 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 868, 723, 883, 635 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 868, 723, 883, 635 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 868, 723, 883, 635 is 1.
HCF(868, 723, 883, 635) = 1
HCF of 868, 723, 883, 635 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 868, 723, 883, 635 is 1.
Highest Common Factor of 868,723,883,635 is 1
Step 1: Since 868 > 723, we apply the division lemma to 868 and 723, to get
868 = 723 x 1 + 145
Step 2: Since the reminder 723 ≠ 0, we apply division lemma to 145 and 723, to get
723 = 145 x 4 + 143
Step 3: We consider the new divisor 145 and the new remainder 143, and apply the division lemma to get
145 = 143 x 1 + 2
We consider the new divisor 143 and the new remainder 2,and apply the division lemma to get
143 = 2 x 71 + 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 868 and 723 is 1
Notice that 1 = HCF(2,1) = HCF(143,2) = HCF(145,143) = HCF(723,145) = HCF(868,723) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 883 > 1, we apply the division lemma to 883 and 1, to get
883 = 1 x 883 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 883 is 1
Notice that 1 = HCF(883,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 635 > 1, we apply the division lemma to 635 and 1, to get
635 = 1 x 635 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 635 is 1
Notice that 1 = HCF(635,1) .
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Frequently Asked Questions on HCF of 868, 723, 883, 635 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 868, 723, 883, 635?
Answer: HCF of 868, 723, 883, 635 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 868, 723, 883, 635 using Euclid's Algorithm?
Answer: For arbitrary numbers 868, 723, 883, 635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.