Highest Common Factor of 1748, 9410 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 1748, 9410 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1748, 9410 is 2 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 1748, 9410 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 1748, 9410 is 2.
HCF(1748, 9410) = 2
HCF of 1748, 9410 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1748, 9410 is 2.
Highest Common Factor of 1748,9410 is 2
Step 1: Since 9410 > 1748, we apply the division lemma to 9410 and 1748, to get
9410 = 1748 x 5 + 670
Step 2: Since the reminder 1748 ≠ 0, we apply division lemma to 670 and 1748, to get
1748 = 670 x 2 + 408
Step 3: We consider the new divisor 670 and the new remainder 408, and apply the division lemma to get
670 = 408 x 1 + 262
We consider the new divisor 408 and the new remainder 262,and apply the division lemma to get
408 = 262 x 1 + 146
We consider the new divisor 262 and the new remainder 146,and apply the division lemma to get
262 = 146 x 1 + 116
We consider the new divisor 146 and the new remainder 116,and apply the division lemma to get
146 = 116 x 1 + 30
We consider the new divisor 116 and the new remainder 30,and apply the division lemma to get
116 = 30 x 3 + 26
We consider the new divisor 30 and the new remainder 26,and apply the division lemma to get
30 = 26 x 1 + 4
We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get
26 = 4 x 6 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1748 and 9410 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(30,26) = HCF(116,30) = HCF(146,116) = HCF(262,146) = HCF(408,262) = HCF(670,408) = HCF(1748,670) = HCF(9410,1748) .
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Frequently Asked Questions on HCF of 1748, 9410 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 1748, 9410?
Answer: HCF of 1748, 9410 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1748, 9410 using Euclid's Algorithm?
Answer: For arbitrary numbers 1748, 9410 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.