Highest Common Factor of 557, 766, 782, 78 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 557, 766, 782, 78 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 557, 766, 782, 78 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 557, 766, 782, 78 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 557, 766, 782, 78 is 1.
HCF(557, 766, 782, 78) = 1
HCF of 557, 766, 782, 78 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 557, 766, 782, 78 is 1.
Highest Common Factor of 557,766,782,78 is 1
Step 1: Since 766 > 557, we apply the division lemma to 766 and 557, to get
766 = 557 x 1 + 209
Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 209 and 557, to get
557 = 209 x 2 + 139
Step 3: We consider the new divisor 209 and the new remainder 139, and apply the division lemma to get
209 = 139 x 1 + 70
We consider the new divisor 139 and the new remainder 70,and apply the division lemma to get
139 = 70 x 1 + 69
We consider the new divisor 70 and the new remainder 69,and apply the division lemma to get
70 = 69 x 1 + 1
We consider the new divisor 69 and the new remainder 1,and apply the division lemma to get
69 = 1 x 69 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 557 and 766 is 1
Notice that 1 = HCF(69,1) = HCF(70,69) = HCF(139,70) = HCF(209,139) = HCF(557,209) = HCF(766,557) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 782 > 1, we apply the division lemma to 782 and 1, to get
782 = 1 x 782 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 782 is 1
Notice that 1 = HCF(782,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 78 > 1, we apply the division lemma to 78 and 1, to get
78 = 1 x 78 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78 is 1
Notice that 1 = HCF(78,1) .
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Frequently Asked Questions on HCF of 557, 766, 782, 78 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 557, 766, 782, 78?
Answer: HCF of 557, 766, 782, 78 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 557, 766, 782, 78 using Euclid's Algorithm?
Answer: For arbitrary numbers 557, 766, 782, 78 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.