Highest Common Factor of 781, 7254 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 781, 7254 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 781, 7254 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 781, 7254 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 781, 7254 is 1.
HCF(781, 7254) = 1
HCF of 781, 7254 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 781, 7254 is 1.
Highest Common Factor of 781,7254 is 1
Step 1: Since 7254 > 781, we apply the division lemma to 7254 and 781, to get
7254 = 781 x 9 + 225
Step 2: Since the reminder 781 ≠ 0, we apply division lemma to 225 and 781, to get
781 = 225 x 3 + 106
Step 3: We consider the new divisor 225 and the new remainder 106, and apply the division lemma to get
225 = 106 x 2 + 13
We consider the new divisor 106 and the new remainder 13,and apply the division lemma to get
106 = 13 x 8 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 781 and 7254 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(106,13) = HCF(225,106) = HCF(781,225) = HCF(7254,781) .
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Frequently Asked Questions on HCF of 781, 7254 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 781, 7254?
Answer: HCF of 781, 7254 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 781, 7254 using Euclid's Algorithm?
Answer: For arbitrary numbers 781, 7254 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.