Highest Common Factor of 656, 952, 735, 386 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 656, 952, 735, 386 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 656, 952, 735, 386 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 656, 952, 735, 386 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 656, 952, 735, 386 is 1.
HCF(656, 952, 735, 386) = 1
HCF of 656, 952, 735, 386 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 656, 952, 735, 386 is 1.
Highest Common Factor of 656,952,735,386 is 1
Step 1: Since 952 > 656, we apply the division lemma to 952 and 656, to get
952 = 656 x 1 + 296
Step 2: Since the reminder 656 ≠ 0, we apply division lemma to 296 and 656, to get
656 = 296 x 2 + 64
Step 3: We consider the new divisor 296 and the new remainder 64, and apply the division lemma to get
296 = 64 x 4 + 40
We consider the new divisor 64 and the new remainder 40,and apply the division lemma to get
64 = 40 x 1 + 24
We consider the new divisor 40 and the new remainder 24,and apply the division lemma to get
40 = 24 x 1 + 16
We consider the new divisor 24 and the new remainder 16,and apply the division lemma to get
24 = 16 x 1 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 656 and 952 is 8
Notice that 8 = HCF(16,8) = HCF(24,16) = HCF(40,24) = HCF(64,40) = HCF(296,64) = HCF(656,296) = HCF(952,656) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 735 > 8, we apply the division lemma to 735 and 8, to get
735 = 8 x 91 + 7
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 7 and 8, to get
8 = 7 x 1 + 1
Step 3: We consider the new divisor 7 and the new remainder 1, and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8 and 735 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(735,8) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 386 > 1, we apply the division lemma to 386 and 1, to get
386 = 1 x 386 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 386 is 1
Notice that 1 = HCF(386,1) .
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Frequently Asked Questions on HCF of 656, 952, 735, 386 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 656, 952, 735, 386?
Answer: HCF of 656, 952, 735, 386 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 656, 952, 735, 386 using Euclid's Algorithm?
Answer: For arbitrary numbers 656, 952, 735, 386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.