Highest Common Factor of 575, 935, 51, 139 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 575, 935, 51, 139 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 575, 935, 51, 139 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 575, 935, 51, 139 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 575, 935, 51, 139 is 1.
HCF(575, 935, 51, 139) = 1
HCF of 575, 935, 51, 139 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 575, 935, 51, 139 is 1.
Highest Common Factor of 575,935,51,139 is 1
Step 1: Since 935 > 575, we apply the division lemma to 935 and 575, to get
935 = 575 x 1 + 360
Step 2: Since the reminder 575 ≠ 0, we apply division lemma to 360 and 575, to get
575 = 360 x 1 + 215
Step 3: We consider the new divisor 360 and the new remainder 215, and apply the division lemma to get
360 = 215 x 1 + 145
We consider the new divisor 215 and the new remainder 145,and apply the division lemma to get
215 = 145 x 1 + 70
We consider the new divisor 145 and the new remainder 70,and apply the division lemma to get
145 = 70 x 2 + 5
We consider the new divisor 70 and the new remainder 5,and apply the division lemma to get
70 = 5 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 575 and 935 is 5
Notice that 5 = HCF(70,5) = HCF(145,70) = HCF(215,145) = HCF(360,215) = HCF(575,360) = HCF(935,575) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 51 > 5, we apply the division lemma to 51 and 5, to get
51 = 5 x 10 + 1
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 51 is 1
Notice that 1 = HCF(5,1) = HCF(51,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 139 > 1, we apply the division lemma to 139 and 1, to get
139 = 1 x 139 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 139 is 1
Notice that 1 = HCF(139,1) .
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Frequently Asked Questions on HCF of 575, 935, 51, 139 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 575, 935, 51, 139?
Answer: HCF of 575, 935, 51, 139 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 575, 935, 51, 139 using Euclid's Algorithm?
Answer: For arbitrary numbers 575, 935, 51, 139 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.