Highest Common Factor of 5670, 9074 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 5670, 9074 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5670, 9074 is 2 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 5670, 9074 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 5670, 9074 is 2.
HCF(5670, 9074) = 2
HCF of 5670, 9074 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5670, 9074 is 2.
Highest Common Factor of 5670,9074 is 2
Step 1: Since 9074 > 5670, we apply the division lemma to 9074 and 5670, to get
9074 = 5670 x 1 + 3404
Step 2: Since the reminder 5670 ≠ 0, we apply division lemma to 3404 and 5670, to get
5670 = 3404 x 1 + 2266
Step 3: We consider the new divisor 3404 and the new remainder 2266, and apply the division lemma to get
3404 = 2266 x 1 + 1138
We consider the new divisor 2266 and the new remainder 1138,and apply the division lemma to get
2266 = 1138 x 1 + 1128
We consider the new divisor 1138 and the new remainder 1128,and apply the division lemma to get
1138 = 1128 x 1 + 10
We consider the new divisor 1128 and the new remainder 10,and apply the division lemma to get
1128 = 10 x 112 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5670 and 9074 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(1128,10) = HCF(1138,1128) = HCF(2266,1138) = HCF(3404,2266) = HCF(5670,3404) = HCF(9074,5670) .
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Frequently Asked Questions on HCF of 5670, 9074 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 5670, 9074?
Answer: HCF of 5670, 9074 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5670, 9074 using Euclid's Algorithm?
Answer: For arbitrary numbers 5670, 9074 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.