Highest Common Factor of 698, 79954 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 698, 79954 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 698, 79954 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 698, 79954 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 698, 79954 is 2.
HCF(698, 79954) = 2
HCF of 698, 79954 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 698, 79954 is 2.
Highest Common Factor of 698,79954 is 2
Step 1: Since 79954 > 698, we apply the division lemma to 79954 and 698, to get
79954 = 698 x 114 + 382
Step 2: Since the reminder 698 ≠ 0, we apply division lemma to 382 and 698, to get
698 = 382 x 1 + 316
Step 3: We consider the new divisor 382 and the new remainder 316, and apply the division lemma to get
382 = 316 x 1 + 66
We consider the new divisor 316 and the new remainder 66,and apply the division lemma to get
316 = 66 x 4 + 52
We consider the new divisor 66 and the new remainder 52,and apply the division lemma to get
66 = 52 x 1 + 14
We consider the new divisor 52 and the new remainder 14,and apply the division lemma to get
52 = 14 x 3 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 698 and 79954 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(52,14) = HCF(66,52) = HCF(316,66) = HCF(382,316) = HCF(698,382) = HCF(79954,698) .
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Frequently Asked Questions on HCF of 698, 79954 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 698, 79954?
Answer: HCF of 698, 79954 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 698, 79954 using Euclid's Algorithm?
Answer: For arbitrary numbers 698, 79954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
