Highest Common Factor of 704, 152, 672, 949 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 704, 152, 672, 949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 704, 152, 672, 949 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 704, 152, 672, 949 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 704, 152, 672, 949 is 1.
HCF(704, 152, 672, 949) = 1
HCF of 704, 152, 672, 949 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 704, 152, 672, 949 is 1.
Highest Common Factor of 704,152,672,949 is 1
Step 1: Since 704 > 152, we apply the division lemma to 704 and 152, to get
704 = 152 x 4 + 96
Step 2: Since the reminder 152 ≠ 0, we apply division lemma to 96 and 152, to get
152 = 96 x 1 + 56
Step 3: We consider the new divisor 96 and the new remainder 56, and apply the division lemma to get
96 = 56 x 1 + 40
We consider the new divisor 56 and the new remainder 40,and apply the division lemma to get
56 = 40 x 1 + 16
We consider the new divisor 40 and the new remainder 16,and apply the division lemma to get
40 = 16 x 2 + 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 704 and 152 is 8
Notice that 8 = HCF(16,8) = HCF(40,16) = HCF(56,40) = HCF(96,56) = HCF(152,96) = HCF(704,152) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 672 > 8, we apply the division lemma to 672 and 8, to get
672 = 8 x 84 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8 and 672 is 8
Notice that 8 = HCF(672,8) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 949 > 8, we apply the division lemma to 949 and 8, to get
949 = 8 x 118 + 5
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 5 and 8, to get
8 = 5 x 1 + 3
Step 3: We consider the new divisor 5 and the new remainder 3, and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8 and 949 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(949,8) .
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Frequently Asked Questions on HCF of 704, 152, 672, 949 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 704, 152, 672, 949?
Answer: HCF of 704, 152, 672, 949 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 704, 152, 672, 949 using Euclid's Algorithm?
Answer: For arbitrary numbers 704, 152, 672, 949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.