Highest Common Factor of 786, 977, 778, 29 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 786, 977, 778, 29 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 786, 977, 778, 29 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 786, 977, 778, 29 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 786, 977, 778, 29 is 1.
HCF(786, 977, 778, 29) = 1
HCF of 786, 977, 778, 29 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 786, 977, 778, 29 is 1.
Highest Common Factor of 786,977,778,29 is 1
Step 1: Since 977 > 786, we apply the division lemma to 977 and 786, to get
977 = 786 x 1 + 191
Step 2: Since the reminder 786 ≠ 0, we apply division lemma to 191 and 786, to get
786 = 191 x 4 + 22
Step 3: We consider the new divisor 191 and the new remainder 22, and apply the division lemma to get
191 = 22 x 8 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 786 and 977 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(191,22) = HCF(786,191) = HCF(977,786) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 778 > 1, we apply the division lemma to 778 and 1, to get
778 = 1 x 778 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 778 is 1
Notice that 1 = HCF(778,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 29 > 1, we apply the division lemma to 29 and 1, to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29 is 1
Notice that 1 = HCF(29,1) .
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Frequently Asked Questions on HCF of 786, 977, 778, 29 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 786, 977, 778, 29?
Answer: HCF of 786, 977, 778, 29 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 786, 977, 778, 29 using Euclid's Algorithm?
Answer: For arbitrary numbers 786, 977, 778, 29 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.