Highest Common Factor of 781, 572, 44 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, 572, 44 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 781, 572, 44 is 11 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, 572, 44 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, 572, 44 is 11.
HCF(781, 572, 44) = 11
HCF of 781, 572, 44 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, 572, 44 is 11.
Highest Common Factor of 781,572,44 is 11
Step 1: Since 781 > 572, we apply the division lemma to 781 and 572, to get
781 = 572 x 1 + 209
Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 209 and 572, to get
572 = 209 x 2 + 154
Step 3: We consider the new divisor 209 and the new remainder 154, and apply the division lemma to get
209 = 154 x 1 + 55
We consider the new divisor 154 and the new remainder 55,and apply the division lemma to get
154 = 55 x 2 + 44
We consider the new divisor 55 and the new remainder 44,and apply the division lemma to get
55 = 44 x 1 + 11
We consider the new divisor 44 and the new remainder 11,and apply the division lemma to get
44 = 11 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 781 and 572 is 11
Notice that 11 = HCF(44,11) = HCF(55,44) = HCF(154,55) = HCF(209,154) = HCF(572,209) = HCF(781,572) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 44 > 11, we apply the division lemma to 44 and 11, to get
44 = 11 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 11 and 44 is 11
Notice that 11 = HCF(44,11) .
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Frequently Asked Questions on HCF of 781, 572, 44 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, 572, 44?
Answer: HCF of 781, 572, 44 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 781, 572, 44 using Euclid's Algorithm?
Answer: For arbitrary numbers 781, 572, 44 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.