Highest Common Factor of 460, 735, 946, 94 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 460, 735, 946, 94 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 460, 735, 946, 94 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 460, 735, 946, 94 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 460, 735, 946, 94 is 1.
HCF(460, 735, 946, 94) = 1
HCF of 460, 735, 946, 94 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 460, 735, 946, 94 is 1.
Highest Common Factor of 460,735,946,94 is 1
Step 1: Since 735 > 460, we apply the division lemma to 735 and 460, to get
735 = 460 x 1 + 275
Step 2: Since the reminder 460 ≠ 0, we apply division lemma to 275 and 460, to get
460 = 275 x 1 + 185
Step 3: We consider the new divisor 275 and the new remainder 185, and apply the division lemma to get
275 = 185 x 1 + 90
We consider the new divisor 185 and the new remainder 90,and apply the division lemma to get
185 = 90 x 2 + 5
We consider the new divisor 90 and the new remainder 5,and apply the division lemma to get
90 = 5 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 460 and 735 is 5
Notice that 5 = HCF(90,5) = HCF(185,90) = HCF(275,185) = HCF(460,275) = HCF(735,460) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 946 > 5, we apply the division lemma to 946 and 5, to get
946 = 5 x 189 + 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 946 is 1
Notice that 1 = HCF(5,1) = HCF(946,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 94 > 1, we apply the division lemma to 94 and 1, to get
94 = 1 x 94 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94 is 1
Notice that 1 = HCF(94,1) .
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Frequently Asked Questions on HCF of 460, 735, 946, 94 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 460, 735, 946, 94?
Answer: HCF of 460, 735, 946, 94 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 460, 735, 946, 94 using Euclid's Algorithm?
Answer: For arbitrary numbers 460, 735, 946, 94 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.