Highest Common Factor of 6853, 707 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 6853, 707 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 6853, 707 is 7 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 6853, 707 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 6853, 707 is 7.
HCF(6853, 707) = 7
HCF of 6853, 707 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6853, 707 is 7.
Highest Common Factor of 6853,707 is 7
Step 1: Since 6853 > 707, we apply the division lemma to 6853 and 707, to get
6853 = 707 x 9 + 490
Step 2: Since the reminder 707 ≠ 0, we apply division lemma to 490 and 707, to get
707 = 490 x 1 + 217
Step 3: We consider the new divisor 490 and the new remainder 217, and apply the division lemma to get
490 = 217 x 2 + 56
We consider the new divisor 217 and the new remainder 56,and apply the division lemma to get
217 = 56 x 3 + 49
We consider the new divisor 56 and the new remainder 49,and apply the division lemma to get
56 = 49 x 1 + 7
We consider the new divisor 49 and the new remainder 7,and apply the division lemma to get
49 = 7 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 6853 and 707 is 7
Notice that 7 = HCF(49,7) = HCF(56,49) = HCF(217,56) = HCF(490,217) = HCF(707,490) = HCF(6853,707) .
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Frequently Asked Questions on HCF of 6853, 707 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 6853, 707?
Answer: HCF of 6853, 707 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6853, 707 using Euclid's Algorithm?
Answer: For arbitrary numbers 6853, 707 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.