Highest Common Factor of 740, 583, 127 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 740, 583, 127 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 740, 583, 127 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 740, 583, 127 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 740, 583, 127 is 1.
HCF(740, 583, 127) = 1
HCF of 740, 583, 127 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 740, 583, 127 is 1.
Highest Common Factor of 740,583,127 is 1
Step 1: Since 740 > 583, we apply the division lemma to 740 and 583, to get
740 = 583 x 1 + 157
Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 157 and 583, to get
583 = 157 x 3 + 112
Step 3: We consider the new divisor 157 and the new remainder 112, and apply the division lemma to get
157 = 112 x 1 + 45
We consider the new divisor 112 and the new remainder 45,and apply the division lemma to get
112 = 45 x 2 + 22
We consider the new divisor 45 and the new remainder 22,and apply the division lemma to get
45 = 22 x 2 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 740 and 583 is 1
Notice that 1 = HCF(22,1) = HCF(45,22) = HCF(112,45) = HCF(157,112) = HCF(583,157) = HCF(740,583) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 127 > 1, we apply the division lemma to 127 and 1, to get
127 = 1 x 127 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 127 is 1
Notice that 1 = HCF(127,1) .
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Frequently Asked Questions on HCF of 740, 583, 127 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 740, 583, 127?
Answer: HCF of 740, 583, 127 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 740, 583, 127 using Euclid's Algorithm?
Answer: For arbitrary numbers 740, 583, 127 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.