Highest Common Factor of 426, 745, 692, 77 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 426, 745, 692, 77 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 426, 745, 692, 77 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 426, 745, 692, 77 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 426, 745, 692, 77 is 1.
HCF(426, 745, 692, 77) = 1
HCF of 426, 745, 692, 77 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 426, 745, 692, 77 is 1.
Highest Common Factor of 426,745,692,77 is 1
Step 1: Since 745 > 426, we apply the division lemma to 745 and 426, to get
745 = 426 x 1 + 319
Step 2: Since the reminder 426 ≠ 0, we apply division lemma to 319 and 426, to get
426 = 319 x 1 + 107
Step 3: We consider the new divisor 319 and the new remainder 107, and apply the division lemma to get
319 = 107 x 2 + 105
We consider the new divisor 107 and the new remainder 105,and apply the division lemma to get
107 = 105 x 1 + 2
We consider the new divisor 105 and the new remainder 2,and apply the division lemma to get
105 = 2 x 52 + 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 426 and 745 is 1
Notice that 1 = HCF(2,1) = HCF(105,2) = HCF(107,105) = HCF(319,107) = HCF(426,319) = HCF(745,426) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 692 > 1, we apply the division lemma to 692 and 1, to get
692 = 1 x 692 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 692 is 1
Notice that 1 = HCF(692,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 77 > 1, we apply the division lemma to 77 and 1, to get
77 = 1 x 77 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77 is 1
Notice that 1 = HCF(77,1) .
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Frequently Asked Questions on HCF of 426, 745, 692, 77 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 426, 745, 692, 77?
Answer: HCF of 426, 745, 692, 77 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 426, 745, 692, 77 using Euclid's Algorithm?
Answer: For arbitrary numbers 426, 745, 692, 77 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.