Highest Common Factor of 9294, 5110 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 9294, 5110 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9294, 5110 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 9294, 5110 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 9294, 5110 is 2.
HCF(9294, 5110) = 2
HCF of 9294, 5110 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9294, 5110 is 2.
Highest Common Factor of 9294,5110 is 2
Step 1: Since 9294 > 5110, we apply the division lemma to 9294 and 5110, to get
9294 = 5110 x 1 + 4184
Step 2: Since the reminder 5110 ≠ 0, we apply division lemma to 4184 and 5110, to get
5110 = 4184 x 1 + 926
Step 3: We consider the new divisor 4184 and the new remainder 926, and apply the division lemma to get
4184 = 926 x 4 + 480
We consider the new divisor 926 and the new remainder 480,and apply the division lemma to get
926 = 480 x 1 + 446
We consider the new divisor 480 and the new remainder 446,and apply the division lemma to get
480 = 446 x 1 + 34
We consider the new divisor 446 and the new remainder 34,and apply the division lemma to get
446 = 34 x 13 + 4
We consider the new divisor 34 and the new remainder 4,and apply the division lemma to get
34 = 4 x 8 + 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 9294 and 5110 is 2
Notice that 2 = HCF(4,2) = HCF(34,4) = HCF(446,34) = HCF(480,446) = HCF(926,480) = HCF(4184,926) = HCF(5110,4184) = HCF(9294,5110) .
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Frequently Asked Questions on HCF of 9294, 5110 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 9294, 5110?
Answer: HCF of 9294, 5110 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9294, 5110 using Euclid's Algorithm?
Answer: For arbitrary numbers 9294, 5110 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.