Highest Common Factor of 949, 97380 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 949, 97380 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 949, 97380 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 949, 97380 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 949, 97380 is 1.
HCF(949, 97380) = 1
HCF of 949, 97380 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 949, 97380 is 1.
Highest Common Factor of 949,97380 is 1
Step 1: Since 97380 > 949, we apply the division lemma to 97380 and 949, to get
97380 = 949 x 102 + 582
Step 2: Since the reminder 949 ≠ 0, we apply division lemma to 582 and 949, to get
949 = 582 x 1 + 367
Step 3: We consider the new divisor 582 and the new remainder 367, and apply the division lemma to get
582 = 367 x 1 + 215
We consider the new divisor 367 and the new remainder 215,and apply the division lemma to get
367 = 215 x 1 + 152
We consider the new divisor 215 and the new remainder 152,and apply the division lemma to get
215 = 152 x 1 + 63
We consider the new divisor 152 and the new remainder 63,and apply the division lemma to get
152 = 63 x 2 + 26
We consider the new divisor 63 and the new remainder 26,and apply the division lemma to get
63 = 26 x 2 + 11
We consider the new divisor 26 and the new remainder 11,and apply the division lemma to get
26 = 11 x 2 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 949 and 97380 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(63,26) = HCF(152,63) = HCF(215,152) = HCF(367,215) = HCF(582,367) = HCF(949,582) = HCF(97380,949) .
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Frequently Asked Questions on HCF of 949, 97380 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 949, 97380?
Answer: HCF of 949, 97380 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 949, 97380 using Euclid's Algorithm?
Answer: For arbitrary numbers 949, 97380 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.