Highest Common Factor of 7402, 7777 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 7402, 7777 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7402, 7777 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 7402, 7777 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 7402, 7777 is 1.
HCF(7402, 7777) = 1
HCF of 7402, 7777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7402, 7777 is 1.
Highest Common Factor of 7402,7777 is 1
Step 1: Since 7777 > 7402, we apply the division lemma to 7777 and 7402, to get
7777 = 7402 x 1 + 375
Step 2: Since the reminder 7402 ≠ 0, we apply division lemma to 375 and 7402, to get
7402 = 375 x 19 + 277
Step 3: We consider the new divisor 375 and the new remainder 277, and apply the division lemma to get
375 = 277 x 1 + 98
We consider the new divisor 277 and the new remainder 98,and apply the division lemma to get
277 = 98 x 2 + 81
We consider the new divisor 98 and the new remainder 81,and apply the division lemma to get
98 = 81 x 1 + 17
We consider the new divisor 81 and the new remainder 17,and apply the division lemma to get
81 = 17 x 4 + 13
We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get
17 = 13 x 1 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7402 and 7777 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(81,17) = HCF(98,81) = HCF(277,98) = HCF(375,277) = HCF(7402,375) = HCF(7777,7402) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7402, 7777 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 7402, 7777?
Answer: HCF of 7402, 7777 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7402, 7777 using Euclid's Algorithm?
Answer: For arbitrary numbers 7402, 7777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.