Highest Common Factor of 781, 426, 923 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, 426, 923 i.e. 71 the largest integer that leaves a remainder zero for all numbers.
HCF of 781, 426, 923 is 71 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, 426, 923 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, 426, 923 is 71.
HCF(781, 426, 923) = 71
HCF of 781, 426, 923 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, 426, 923 is 71.
Highest Common Factor of 781,426,923 is 71
Step 1: Since 781 > 426, we apply the division lemma to 781 and 426, to get
781 = 426 x 1 + 355
Step 2: Since the reminder 426 ≠ 0, we apply division lemma to 355 and 426, to get
426 = 355 x 1 + 71
Step 3: We consider the new divisor 355 and the new remainder 71, and apply the division lemma to get
355 = 71 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 71, the HCF of 781 and 426 is 71
Notice that 71 = HCF(355,71) = HCF(426,355) = HCF(781,426) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 923 > 71, we apply the division lemma to 923 and 71, to get
923 = 71 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 71, the HCF of 71 and 923 is 71
Notice that 71 = HCF(923,71) .
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Frequently Asked Questions on HCF of 781, 426, 923 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, 426, 923?
Answer: HCF of 781, 426, 923 is 71 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 781, 426, 923 using Euclid's Algorithm?
Answer: For arbitrary numbers 781, 426, 923 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.