Highest Common Factor of 179, 714, 191, 741 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 179, 714, 191, 741 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 179, 714, 191, 741 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 179, 714, 191, 741 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 179, 714, 191, 741 is 1.
HCF(179, 714, 191, 741) = 1
HCF of 179, 714, 191, 741 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 179, 714, 191, 741 is 1.
Highest Common Factor of 179,714,191,741 is 1
Step 1: Since 714 > 179, we apply the division lemma to 714 and 179, to get
714 = 179 x 3 + 177
Step 2: Since the reminder 179 ≠ 0, we apply division lemma to 177 and 179, to get
179 = 177 x 1 + 2
Step 3: We consider the new divisor 177 and the new remainder 2, and apply the division lemma to get
177 = 2 x 88 + 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 179 and 714 is 1
Notice that 1 = HCF(2,1) = HCF(177,2) = HCF(179,177) = HCF(714,179) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 191 > 1, we apply the division lemma to 191 and 1, to get
191 = 1 x 191 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 191 is 1
Notice that 1 = HCF(191,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 741 > 1, we apply the division lemma to 741 and 1, to get
741 = 1 x 741 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 741 is 1
Notice that 1 = HCF(741,1) .
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Frequently Asked Questions on HCF of 179, 714, 191, 741 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 179, 714, 191, 741?
Answer: HCF of 179, 714, 191, 741 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 179, 714, 191, 741 using Euclid's Algorithm?
Answer: For arbitrary numbers 179, 714, 191, 741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.