Highest Common Factor of 360, 949, 793, 526 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 360, 949, 793, 526 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 360, 949, 793, 526 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 360, 949, 793, 526 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 360, 949, 793, 526 is 1.
HCF(360, 949, 793, 526) = 1
HCF of 360, 949, 793, 526 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 360, 949, 793, 526 is 1.
Highest Common Factor of 360,949,793,526 is 1
Step 1: Since 949 > 360, we apply the division lemma to 949 and 360, to get
949 = 360 x 2 + 229
Step 2: Since the reminder 360 ≠ 0, we apply division lemma to 229 and 360, to get
360 = 229 x 1 + 131
Step 3: We consider the new divisor 229 and the new remainder 131, and apply the division lemma to get
229 = 131 x 1 + 98
We consider the new divisor 131 and the new remainder 98,and apply the division lemma to get
131 = 98 x 1 + 33
We consider the new divisor 98 and the new remainder 33,and apply the division lemma to get
98 = 33 x 2 + 32
We consider the new divisor 33 and the new remainder 32,and apply the division lemma to get
33 = 32 x 1 + 1
We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 360 and 949 is 1
Notice that 1 = HCF(32,1) = HCF(33,32) = HCF(98,33) = HCF(131,98) = HCF(229,131) = HCF(360,229) = HCF(949,360) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 793 > 1, we apply the division lemma to 793 and 1, to get
793 = 1 x 793 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 793 is 1
Notice that 1 = HCF(793,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 526 > 1, we apply the division lemma to 526 and 1, to get
526 = 1 x 526 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 526 is 1
Notice that 1 = HCF(526,1) .
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Frequently Asked Questions on HCF of 360, 949, 793, 526 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 360, 949, 793, 526?
Answer: HCF of 360, 949, 793, 526 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 360, 949, 793, 526 using Euclid's Algorithm?
Answer: For arbitrary numbers 360, 949, 793, 526 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.