Highest Common Factor of 674, 79260 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 674, 79260 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 674, 79260 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 674, 79260 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 674, 79260 is 2.
HCF(674, 79260) = 2
HCF of 674, 79260 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 674, 79260 is 2.
Highest Common Factor of 674,79260 is 2
Step 1: Since 79260 > 674, we apply the division lemma to 79260 and 674, to get
79260 = 674 x 117 + 402
Step 2: Since the reminder 674 ≠ 0, we apply division lemma to 402 and 674, to get
674 = 402 x 1 + 272
Step 3: We consider the new divisor 402 and the new remainder 272, and apply the division lemma to get
402 = 272 x 1 + 130
We consider the new divisor 272 and the new remainder 130,and apply the division lemma to get
272 = 130 x 2 + 12
We consider the new divisor 130 and the new remainder 12,and apply the division lemma to get
130 = 12 x 10 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 674 and 79260 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(130,12) = HCF(272,130) = HCF(402,272) = HCF(674,402) = HCF(79260,674) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 674, 79260 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 674, 79260?
Answer: HCF of 674, 79260 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 674, 79260 using Euclid's Algorithm?
Answer: For arbitrary numbers 674, 79260 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.