Highest Common Factor of 291, 712, 746, 58 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 291, 712, 746, 58 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 291, 712, 746, 58 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 291, 712, 746, 58 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 291, 712, 746, 58 is 1.
HCF(291, 712, 746, 58) = 1
HCF of 291, 712, 746, 58 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 291, 712, 746, 58 is 1.
Highest Common Factor of 291,712,746,58 is 1
Step 1: Since 712 > 291, we apply the division lemma to 712 and 291, to get
712 = 291 x 2 + 130
Step 2: Since the reminder 291 ≠ 0, we apply division lemma to 130 and 291, to get
291 = 130 x 2 + 31
Step 3: We consider the new divisor 130 and the new remainder 31, and apply the division lemma to get
130 = 31 x 4 + 6
We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get
31 = 6 x 5 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 291 and 712 is 1
Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(130,31) = HCF(291,130) = HCF(712,291) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 746 > 1, we apply the division lemma to 746 and 1, to get
746 = 1 x 746 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 746 is 1
Notice that 1 = HCF(746,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58 > 1, we apply the division lemma to 58 and 1, to get
58 = 1 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58 is 1
Notice that 1 = HCF(58,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 291, 712, 746, 58 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 291, 712, 746, 58?
Answer: HCF of 291, 712, 746, 58 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 291, 712, 746, 58 using Euclid's Algorithm?
Answer: For arbitrary numbers 291, 712, 746, 58 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.