Highest Common Factor of 790, 669, 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 790, 669, 702 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 790, 669, 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 790, 669, 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 790, 669, 702 is 1.
HCF(790, 669, 702) = 1
HCF of 790, 669, 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 790, 669, 702 is 1.
Highest Common Factor of 790,669,702 is 1
Step 1: Since 790 > 669, we apply the division lemma to 790 and 669, to get
790 = 669 x 1 + 121
Step 2: Since the reminder 669 ≠ 0, we apply division lemma to 121 and 669, to get
669 = 121 x 5 + 64
Step 3: We consider the new divisor 121 and the new remainder 64, and apply the division lemma to get
121 = 64 x 1 + 57
We consider the new divisor 64 and the new remainder 57,and apply the division lemma to get
64 = 57 x 1 + 7
We consider the new divisor 57 and the new remainder 7,and apply the division lemma to get
57 = 7 x 8 + 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 790 and 669 is 1
Notice that 1 = HCF(7,1) = HCF(57,7) = HCF(64,57) = HCF(121,64) = HCF(669,121) = HCF(790,669) .
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 790, 669, 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 790, 669, 702?
Answer: HCF of 790, 669, 702 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 790, 669, 702 using Euclid's Algorithm?
Answer: For arbitrary numbers 790, 669, 702 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.