Highest Common Factor of 877, 7645, 5610 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 877, 7645, 5610 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 877, 7645, 5610 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 877, 7645, 5610 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 877, 7645, 5610 is 1.
HCF(877, 7645, 5610) = 1
HCF of 877, 7645, 5610 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 877, 7645, 5610 is 1.
Highest Common Factor of 877,7645,5610 is 1
Step 1: Since 7645 > 877, we apply the division lemma to 7645 and 877, to get
7645 = 877 x 8 + 629
Step 2: Since the reminder 877 ≠ 0, we apply division lemma to 629 and 877, to get
877 = 629 x 1 + 248
Step 3: We consider the new divisor 629 and the new remainder 248, and apply the division lemma to get
629 = 248 x 2 + 133
We consider the new divisor 248 and the new remainder 133,and apply the division lemma to get
248 = 133 x 1 + 115
We consider the new divisor 133 and the new remainder 115,and apply the division lemma to get
133 = 115 x 1 + 18
We consider the new divisor 115 and the new remainder 18,and apply the division lemma to get
115 = 18 x 6 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 877 and 7645 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(115,18) = HCF(133,115) = HCF(248,133) = HCF(629,248) = HCF(877,629) = HCF(7645,877) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5610 > 1, we apply the division lemma to 5610 and 1, to get
5610 = 1 x 5610 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5610 is 1
Notice that 1 = HCF(5610,1) .
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Frequently Asked Questions on HCF of 877, 7645, 5610 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 877, 7645, 5610?
Answer: HCF of 877, 7645, 5610 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 877, 7645, 5610 using Euclid's Algorithm?
Answer: For arbitrary numbers 877, 7645, 5610 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
