Highest Common Factor of 6910, 7464 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 6910, 7464 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6910, 7464 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 6910, 7464 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 6910, 7464 is 2.
HCF(6910, 7464) = 2
HCF of 6910, 7464 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6910, 7464 is 2.
Highest Common Factor of 6910,7464 is 2
Step 1: Since 7464 > 6910, we apply the division lemma to 7464 and 6910, to get
7464 = 6910 x 1 + 554
Step 2: Since the reminder 6910 ≠ 0, we apply division lemma to 554 and 6910, to get
6910 = 554 x 12 + 262
Step 3: We consider the new divisor 554 and the new remainder 262, and apply the division lemma to get
554 = 262 x 2 + 30
We consider the new divisor 262 and the new remainder 30,and apply the division lemma to get
262 = 30 x 8 + 22
We consider the new divisor 30 and the new remainder 22,and apply the division lemma to get
30 = 22 x 1 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 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 6910 and 7464 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(30,22) = HCF(262,30) = HCF(554,262) = HCF(6910,554) = HCF(7464,6910) .
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Frequently Asked Questions on HCF of 6910, 7464 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 6910, 7464?
Answer: HCF of 6910, 7464 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6910, 7464 using Euclid's Algorithm?
Answer: For arbitrary numbers 6910, 7464 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.