Highest Common Factor of 910, 49687 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 910, 49687 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 910, 49687 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 910, 49687 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 910, 49687 is 1.
HCF(910, 49687) = 1
HCF of 910, 49687 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 910, 49687 is 1.
Highest Common Factor of 910,49687 is 1
Step 1: Since 49687 > 910, we apply the division lemma to 49687 and 910, to get
49687 = 910 x 54 + 547
Step 2: Since the reminder 910 ≠ 0, we apply division lemma to 547 and 910, to get
910 = 547 x 1 + 363
Step 3: We consider the new divisor 547 and the new remainder 363, and apply the division lemma to get
547 = 363 x 1 + 184
We consider the new divisor 363 and the new remainder 184,and apply the division lemma to get
363 = 184 x 1 + 179
We consider the new divisor 184 and the new remainder 179,and apply the division lemma to get
184 = 179 x 1 + 5
We consider the new divisor 179 and the new remainder 5,and apply the division lemma to get
179 = 5 x 35 + 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 910 and 49687 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(179,5) = HCF(184,179) = HCF(363,184) = HCF(547,363) = HCF(910,547) = HCF(49687,910) .
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Frequently Asked Questions on HCF of 910, 49687 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 910, 49687?
Answer: HCF of 910, 49687 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 910, 49687 using Euclid's Algorithm?
Answer: For arbitrary numbers 910, 49687 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.