Highest Common Factor of 7490, 2157, 33074 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 7490, 2157, 33074 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7490, 2157, 33074 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 7490, 2157, 33074 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 7490, 2157, 33074 is 1.
HCF(7490, 2157, 33074) = 1
HCF of 7490, 2157, 33074 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7490, 2157, 33074 is 1.
Highest Common Factor of 7490,2157,33074 is 1
Step 1: Since 7490 > 2157, we apply the division lemma to 7490 and 2157, to get
7490 = 2157 x 3 + 1019
Step 2: Since the reminder 2157 ≠ 0, we apply division lemma to 1019 and 2157, to get
2157 = 1019 x 2 + 119
Step 3: We consider the new divisor 1019 and the new remainder 119, and apply the division lemma to get
1019 = 119 x 8 + 67
We consider the new divisor 119 and the new remainder 67,and apply the division lemma to get
119 = 67 x 1 + 52
We consider the new divisor 67 and the new remainder 52,and apply the division lemma to get
67 = 52 x 1 + 15
We consider the new divisor 52 and the new remainder 15,and apply the division lemma to get
52 = 15 x 3 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
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 7490 and 2157 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(52,15) = HCF(67,52) = HCF(119,67) = HCF(1019,119) = HCF(2157,1019) = HCF(7490,2157) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33074 > 1, we apply the division lemma to 33074 and 1, to get
33074 = 1 x 33074 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 33074 is 1
Notice that 1 = HCF(33074,1) .
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Frequently Asked Questions on HCF of 7490, 2157, 33074 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 7490, 2157, 33074?
Answer: HCF of 7490, 2157, 33074 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7490, 2157, 33074 using Euclid's Algorithm?
Answer: For arbitrary numbers 7490, 2157, 33074 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.