Highest Common Factor of 1781, 6464 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 1781, 6464 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1781, 6464 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 1781, 6464 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 1781, 6464 is 1.
HCF(1781, 6464) = 1
HCF of 1781, 6464 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1781, 6464 is 1.
Highest Common Factor of 1781,6464 is 1
Step 1: Since 6464 > 1781, we apply the division lemma to 6464 and 1781, to get
6464 = 1781 x 3 + 1121
Step 2: Since the reminder 1781 ≠ 0, we apply division lemma to 1121 and 1781, to get
1781 = 1121 x 1 + 660
Step 3: We consider the new divisor 1121 and the new remainder 660, and apply the division lemma to get
1121 = 660 x 1 + 461
We consider the new divisor 660 and the new remainder 461,and apply the division lemma to get
660 = 461 x 1 + 199
We consider the new divisor 461 and the new remainder 199,and apply the division lemma to get
461 = 199 x 2 + 63
We consider the new divisor 199 and the new remainder 63,and apply the division lemma to get
199 = 63 x 3 + 10
We consider the new divisor 63 and the new remainder 10,and apply the division lemma to get
63 = 10 x 6 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1781 and 6464 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(63,10) = HCF(199,63) = HCF(461,199) = HCF(660,461) = HCF(1121,660) = HCF(1781,1121) = HCF(6464,1781) .
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Frequently Asked Questions on HCF of 1781, 6464 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 1781, 6464?
Answer: HCF of 1781, 6464 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1781, 6464 using Euclid's Algorithm?
Answer: For arbitrary numbers 1781, 6464 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.