Highest Common Factor of 671, 924, 910 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 671, 924, 910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 671, 924, 910 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 671, 924, 910 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 671, 924, 910 is 1.
HCF(671, 924, 910) = 1
HCF of 671, 924, 910 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 671, 924, 910 is 1.
Highest Common Factor of 671,924,910 is 1
Step 1: Since 924 > 671, we apply the division lemma to 924 and 671, to get
924 = 671 x 1 + 253
Step 2: Since the reminder 671 ≠ 0, we apply division lemma to 253 and 671, to get
671 = 253 x 2 + 165
Step 3: We consider the new divisor 253 and the new remainder 165, and apply the division lemma to get
253 = 165 x 1 + 88
We consider the new divisor 165 and the new remainder 88,and apply the division lemma to get
165 = 88 x 1 + 77
We consider the new divisor 88 and the new remainder 77,and apply the division lemma to get
88 = 77 x 1 + 11
We consider the new divisor 77 and the new remainder 11,and apply the division lemma to get
77 = 11 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 671 and 924 is 11
Notice that 11 = HCF(77,11) = HCF(88,77) = HCF(165,88) = HCF(253,165) = HCF(671,253) = HCF(924,671) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 910 > 11, we apply the division lemma to 910 and 11, to get
910 = 11 x 82 + 8
Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 8 and 11, to get
11 = 8 x 1 + 3
Step 3: We consider the new divisor 8 and the new remainder 3, and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 11 and 910 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(910,11) .
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Frequently Asked Questions on HCF of 671, 924, 910 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 671, 924, 910?
Answer: HCF of 671, 924, 910 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 671, 924, 910 using Euclid's Algorithm?
Answer: For arbitrary numbers 671, 924, 910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
