Highest Common Factor of 885, 637, 858, 710 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 885, 637, 858, 710 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 885, 637, 858, 710 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 885, 637, 858, 710 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 885, 637, 858, 710 is 1.
HCF(885, 637, 858, 710) = 1
HCF of 885, 637, 858, 710 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 885, 637, 858, 710 is 1.
Highest Common Factor of 885,637,858,710 is 1
Step 1: Since 885 > 637, we apply the division lemma to 885 and 637, to get
885 = 637 x 1 + 248
Step 2: Since the reminder 637 ≠ 0, we apply division lemma to 248 and 637, to get
637 = 248 x 2 + 141
Step 3: We consider the new divisor 248 and the new remainder 141, and apply the division lemma to get
248 = 141 x 1 + 107
We consider the new divisor 141 and the new remainder 107,and apply the division lemma to get
141 = 107 x 1 + 34
We consider the new divisor 107 and the new remainder 34,and apply the division lemma to get
107 = 34 x 3 + 5
We consider the new divisor 34 and the new remainder 5,and apply the division lemma to get
34 = 5 x 6 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 885 and 637 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(34,5) = HCF(107,34) = HCF(141,107) = HCF(248,141) = HCF(637,248) = HCF(885,637) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 858 > 1, we apply the division lemma to 858 and 1, to get
858 = 1 x 858 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 858 is 1
Notice that 1 = HCF(858,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 710 > 1, we apply the division lemma to 710 and 1, to get
710 = 1 x 710 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 710 is 1
Notice that 1 = HCF(710,1) .
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Frequently Asked Questions on HCF of 885, 637, 858, 710 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 885, 637, 858, 710?
Answer: HCF of 885, 637, 858, 710 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 885, 637, 858, 710 using Euclid's Algorithm?
Answer: For arbitrary numbers 885, 637, 858, 710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.