Highest Common Factor of 602, 821, 842, 702 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 602, 821, 842, 702 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 602, 821, 842, 702 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 602, 821, 842, 702 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 602, 821, 842, 702 is 1.
HCF(602, 821, 842, 702) = 1
HCF of 602, 821, 842, 702 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 602, 821, 842, 702 is 1.
Highest Common Factor of 602,821,842,702 is 1
Step 1: Since 821 > 602, we apply the division lemma to 821 and 602, to get
821 = 602 x 1 + 219
Step 2: Since the reminder 602 ≠ 0, we apply division lemma to 219 and 602, to get
602 = 219 x 2 + 164
Step 3: We consider the new divisor 219 and the new remainder 164, and apply the division lemma to get
219 = 164 x 1 + 55
We consider the new divisor 164 and the new remainder 55,and apply the division lemma to get
164 = 55 x 2 + 54
We consider the new divisor 55 and the new remainder 54,and apply the division lemma to get
55 = 54 x 1 + 1
We consider the new divisor 54 and the new remainder 1,and apply the division lemma to get
54 = 1 x 54 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 602 and 821 is 1
Notice that 1 = HCF(54,1) = HCF(55,54) = HCF(164,55) = HCF(219,164) = HCF(602,219) = HCF(821,602) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 842 > 1, we apply the division lemma to 842 and 1, to get
842 = 1 x 842 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 842 is 1
Notice that 1 = HCF(842,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 702 > 1, we apply the division lemma to 702 and 1, to get
702 = 1 x 702 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 702 is 1
Notice that 1 = HCF(702,1) .
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Frequently Asked Questions on HCF of 602, 821, 842, 702 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 602, 821, 842, 702?
Answer: HCF of 602, 821, 842, 702 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 602, 821, 842, 702 using Euclid's Algorithm?
Answer: For arbitrary numbers 602, 821, 842, 702 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.