Highest Common Factor of 758, 10910 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 758, 10910 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 758, 10910 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 758, 10910 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 758, 10910 is 2.
HCF(758, 10910) = 2
HCF of 758, 10910 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 758, 10910 is 2.
Highest Common Factor of 758,10910 is 2
Step 1: Since 10910 > 758, we apply the division lemma to 10910 and 758, to get
10910 = 758 x 14 + 298
Step 2: Since the reminder 758 ≠ 0, we apply division lemma to 298 and 758, to get
758 = 298 x 2 + 162
Step 3: We consider the new divisor 298 and the new remainder 162, and apply the division lemma to get
298 = 162 x 1 + 136
We consider the new divisor 162 and the new remainder 136,and apply the division lemma to get
162 = 136 x 1 + 26
We consider the new divisor 136 and the new remainder 26,and apply the division lemma to get
136 = 26 x 5 + 6
We consider the new divisor 26 and the new remainder 6,and apply the division lemma to get
26 = 6 x 4 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 758 and 10910 is 2
Notice that 2 = HCF(6,2) = HCF(26,6) = HCF(136,26) = HCF(162,136) = HCF(298,162) = HCF(758,298) = HCF(10910,758) .
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Frequently Asked Questions on HCF of 758, 10910 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 758, 10910?
Answer: HCF of 758, 10910 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 758, 10910 using Euclid's Algorithm?
Answer: For arbitrary numbers 758, 10910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.