Highest Common Factor of 770, 54098 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 770, 54098 i.e. 22 the largest integer that leaves a remainder zero for all numbers.
HCF of 770, 54098 is 22 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 770, 54098 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 770, 54098 is 22.
HCF(770, 54098) = 22
HCF of 770, 54098 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 770, 54098 is 22.
Highest Common Factor of 770,54098 is 22
Step 1: Since 54098 > 770, we apply the division lemma to 54098 and 770, to get
54098 = 770 x 70 + 198
Step 2: Since the reminder 770 ≠ 0, we apply division lemma to 198 and 770, to get
770 = 198 x 3 + 176
Step 3: We consider the new divisor 198 and the new remainder 176, and apply the division lemma to get
198 = 176 x 1 + 22
We consider the new divisor 176 and the new remainder 22, and apply the division lemma to get
176 = 22 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 770 and 54098 is 22
Notice that 22 = HCF(176,22) = HCF(198,176) = HCF(770,198) = HCF(54098,770) .
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Frequently Asked Questions on HCF of 770, 54098 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 770, 54098?
Answer: HCF of 770, 54098 is 22 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 770, 54098 using Euclid's Algorithm?
Answer: For arbitrary numbers 770, 54098 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.